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Volumn , Issue , 2018, Pages 1-326

Proofs from THE BOOK

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EID: 85053742731     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-662-57265-8     Document Type: Book
Times cited : (701)

References (269)
  • 2
    • 84860655778 scopus 로고    scopus 로고
    • Prime divisors of thin sequences
    • C. ELSHOLTZ: Prime divisors of thin sequences, Amer. Math. Monthly 119 (2012), 331-333.
    • (2012) Amer. Math. Monthly , vol.119 , pp. 331-333
    • Elsholtz, C.1
  • 3
    • 84883310847 scopus 로고
    • über die Reihe σ1/p
    • P. ERDOS: über die Reihe σ1/p, Mathematica, Zutphen B 7 (1938), 1-2.
    • (1938) Mathematica, Zutphen B , vol.7 , pp. 1-2
    • Erdos, P.1
  • 4
    • 85053746544 scopus 로고    scopus 로고
    • Tomus Primus, Lausanne 1748; Opera Omnia, Ser. 1
    • L. EULER: Introductio in Analysin Infinitorum, Tomus Primus, Lausanne 1748; Opera Omnia, Ser. 1, Vol. 8.
    • Introductio in Analysin Infinitor , vol.8
    • Euler, L.1
  • 5
    • 34547890547 scopus 로고
    • On the infinitude of primes
    • H. FüRSTENBERG: On the infinitude of primes, Amer. Math. Monthly 62 (1955), 353.
    • (1955) Amer. Math. Monthly , vol.62 , pp. 353
    • Fürstenberg, H.1
  • 6
    • 0010155933 scopus 로고
    • über die Existenz unendlich vieler Primzahlen in einigen speziellen arithmetischen Progressionen
    • I. SCHUR: über die Existenz unendlich vieler Primzahlen in einigen speziellen arithmetischen Progressionen, Sitzungsberichte der Berliner Math. Gesellschaft 11 (1912), 40-50.
    • (1912) Sitzungsberichte der Berliner Math. Gesellschaft , vol.11 , pp. 40-50
    • Schur, I.1
  • 7
    • 0011040567 scopus 로고
    • Beweis eines Satzes von Tschebyschef
    • P. ERDOS: Beweis eines Satzes von Tschebyschef, Acta Sci. Math. (Szeged) 5 (1930-32), 194-198.
    • (1930) Acta Sci. Math. (Szeged) , vol.5 , pp. 194-198
    • Erdos, P.1
  • 11
    • 84963015184 scopus 로고
    • A theorem of Sylvester and Schur
    • P. ERDOS: A theorem of Sylvester and Schur, J. London Math. Soc. 9 (1934), 282-288.
    • (1934) J. London Math. Soc , vol.9 , pp. 282-288
    • Erdos, P.1
  • 12
    • 84963034911 scopus 로고
    • On a diophantine equation
    • P. ERDOS: On a diophantine equation, J. London Math. Soc. 26 (1951), 176-178.
    • (1951) J. London Math. Soc , vol.26 , pp. 176-178
    • Erdos, P.1
  • 14
    • 0002554716 scopus 로고
    • On arithmetical series
    • 1-19, 87-120; Collected Mathematical Papers Vol. 4, 1912, 687-731
    • J. J. SYLVESTER: On arithmetical series, Messenger ofMath. 21 (1892), 1-19, 87-120; Collected Mathematical Papers Vol. 4, 1912, 687-731.
    • (1892) Messenger ofMath , vol.21
    • Sylvester, J.J.1
  • 16
    • 0009298125 scopus 로고
    • LATEX version, with appendix on history, January 2008
    • D. R. HEATH-BROWN: Fermat's two squares theorem, Invariant (1984), 2-5. LATEX version, with appendix on history, January 2008, at eprints.maths.ox.ac. uk/677/1/invariant.pdf.
    • (1984) Fermat's two squares theorem, Invariant , pp. 2-5
    • Heath-Brown, D.R.1
  • 21
    • 84930729273 scopus 로고
    • Et par antydninger til en taltheoretisk metode
    • A. THUE: Et par antydninger til en taltheoretisk metode, Kra. Vidensk. Selsk. Forh. 7 (1902), 57-75.
    • (1902) Kra. Vidensk. Selsk. Forh , vol.7 , pp. 57-75
    • Thue, A.1
  • 22
    • 0000748665 scopus 로고
    • Editor's corner: The Euclidean algorithm strikes again
    • S. WAGON: Editor's corner: The Euclidean algorithm strikes again, Amer. Math. Monthly 97 (1990), 125-129.
    • (1990) Amer. Math. Monthly , vol.97 , pp. 125-129
    • Wagon, S.1
  • 23
    • 0009225619 scopus 로고
    • A one-sentence proof that every prime p = 1 (mod 4) is a sum of two squares
    • D. ZAGIER: A one-sentence proof that every prime p = 1 (mod 4) is a sum of two squares, Amer. Math. Monthly 97 (1990), 144.
    • (1990) Amer. Math. Monthly , vol.97 , pp. 144
    • Zagier, D.1
  • 25
    • 84930699870 scopus 로고
    • Geometrischer Beweis des Fundamentaltheorems für die quadratischen Reste
    • F. G. EISENSTEIN: Geometrischer Beweis des Fundamentaltheorems für die quadratischen Reste, J. Reine Angewandte Mathematik 28 (1844), 186-191.
    • (1844) J. Reine Angewandte Mathematik , vol.28 , pp. 186-191
    • Eisenstein, F.G.1
  • 29
    • 84948092197 scopus 로고
    • On finite algebras, Nachrichten der Akad
    • Collected Mathematical Papers Vol. III, Chelsea Publ. Comp, The Bronx, NY 1975, 539-574.
    • L. E. DICKSON: On finite algebras, Nachrichten der Akad. Wissenschaften Göttingen Math.-Phys. Klasse (1905), 1-36; Collected Mathematical Papers Vol. III, Chelsea Publ. Comp, The Bronx, NY 1975, 539-574.
    • (1905) Wissenschaften Göttingen Math.-Phys. Klasse , pp. 1-36
    • Dickson, L.E.1
  • 30
  • 31
    • 18244382488 scopus 로고
    • über die Kommutativität endlicher Schiefkörper
    • E. WITT: über die Kommutativität endlicher Schiefkörper, Abh. Math. Sem. Univ. Hamburg 8 (1931), 413.
    • (1931) Abh. Math. Sem. Univ. Hamburg , vol.8 , pp. 413
    • Witt, E.1
  • 32
    • 0000720098 scopus 로고
    • Résolution d'une question relative aux déterminants
    • J. HADAMARD: Résolution d'une question relative aux déterminants, Bulletin des Sciences Mathématiques 17 (1893), 240-246.
    • (1893) Bulletin des Sciences Mathématiques , vol.17 , pp. 240-246
    • Hadamard, J.1
  • 33
    • 4243372918 scopus 로고
    • Collected Papers of Paul Turán
    • (P. Erdos, ed.), Akadémiai Kiadó, Budapest
    • G. SZEKERES & P. TURáN: An extremal problem in the theory of determinants, in: "Collected Papers of Paul Turán" (P. Erdos, ed.), Akadémiai Kiadó, Budapest 1990, Vol. 1, pp. 81-87.
    • (1990) An extremal problem in the theory of determinants , vol.1 , pp. 81-87
    • Szekeres, G.1    Turán, P.2
  • 34
    • 84930751564 scopus 로고
    • An algorithm-inspired proof of the spectral theorem in En
    • H. WILF: An algorithm-inspired proof of the spectral theorem in En, Amer. Math. Monthly 88 (1981), 49-50.
    • (1981) Amer. Math. Monthly , vol.88 , pp. 49-50
    • Wilf, H.1
  • 35
    • 0348104457 scopus 로고
    • Some examples of combinatorial averaging
    • H. WILF: Some examples of combinatorial averaging, Amer. Math. Monthly 92 (1985), 250-261.
    • (1985) Amer. Math. Monthly , vol.92 , pp. 250-261
    • Wilf, H.1
  • 36
    • 0002270759 scopus 로고
    • Sur la fonction exponentielle
    • OEuvres de Charles Hermite, Vol. III, Gauthier-Villars, Paris 1912, pp. 150-181
    • C. HERMITE: Sur la fonction exponentielle, Comptes rendus de l'Académie des Sciences (Paris) 77 (1873), 18-24; OEuvres de Charles Hermite, Vol. III, Gauthier-Villars, Paris 1912, pp. 150-181.
    • (1873) Comptes rendus de l'Académie des Sciences (Paris) , vol.77 , pp. 18-24
    • Hermite, C.1
  • 38
    • 84930711139 scopus 로고
    • On Niven's proof that p is irrational
    • J. F. KOKSMA: On Niven's proof that p is irrational, Nieuw Archief voor Wiskunde (2) 23 (1949), 39.
    • (1949) Nieuw Archief voor Wiskunde , vol.23 , Issue.2 , pp. 39
    • Koksma, J.F.1
  • 39
    • 71049171797 scopus 로고
    • Sur l'irrationalité du nombre e = 2,718..
    • Addition, 193-194
    • J. LIOUVILLE: Sur l'irrationalité du nombre e = 2,718.., Journal de Mathématiques Pures et Appl. (1) 5 (1840), 192; Addition, 193-194.
    • (1840) Journal de Mathématiques Pures et Appl. , vol.5 , Issue.1 , pp. 192
    • Liouville, J.1
  • 40
    • 84966253336 scopus 로고
    • A simple proof that p is irrational
    • I. NIVEN: A simple proof that p is irrational, Bulletin Amer. Math. Soc. 53 (1947), 509.
    • (1947) Bulletin Amer. Math. Soc , vol.53 , pp. 509
    • Niven, I.1
  • 41
    • 0035641769 scopus 로고    scopus 로고
    • Irrationalité d'une infinité de valeurs de la fonction zêta aux entiers impairs
    • K. BALL & T. RIVOAL: Irrationalité d'une infinité de valeurs de la fonction zêta aux entiers impairs, Inventiones math. 146 (2001), 193-207.
    • (2001) Inventiones math , vol.146 , pp. 193-207
    • Ball, K.1    Rivoal, T.2
  • 42
  • 45
    • 33748741279 scopus 로고    scopus 로고
    • Irrationalité de valeurs de zêta (d'après Apé Rivoal,..), Bourbaki Seminar, No. 910, November 2002;
    • S. FISCHLER: Irrationalité de valeurs de zêta (d'après Apéry, Rivoal,..), Bourbaki Seminar, No. 910, November 2002; Astérisque 294 (2004), 27-62.
    • (2004) Astérisque , vol.294 , pp. 27-62
    • Fischler, S.1
  • 46
    • 0035981647 scopus 로고    scopus 로고
    • An elementary problem equivalent to the Riemann hypothesis
    • J. C. LAGARIAS: An elementary problem equivalent to the Riemann hypothesis, Amer. Math. Monthly 109 (2002), 534-543.
    • (2002) Amer. Math. Monthly , vol.109 , pp. 534-543
    • Lagarias, J.C.1
  • 50
    • 85010014427 scopus 로고    scopus 로고
    • Arithmetic of linear forms involving odd zeta values
    • W. ZUDILIN: Arithmetic of linear forms involving odd zeta values, J. Théorie Nombres Bordeaux 16 (2004), 251-291.
    • (2004) J. Théorie Nombres Bordeaux , vol.16 , pp. 251-291
    • Zudilin, W.1
  • 51
    • 0039184899 scopus 로고
    • V. H. Winston & Sons (Halsted Press, John Wiley & Sons), Washington DC
    • V. G. BOLTIANSKII: Hilbert's Third Problem, V. H. Winston & Sons (Halsted Press, John Wiley & Sons), Washington DC 1978.
    • (1978) Hilbert's Third Problem
    • Boltianskii, V.G.1
  • 52
    • 35948938928 scopus 로고    scopus 로고
    • A new approach to Hilbert's third problem
    • D. BENKO: A new approach to Hilbert's third problem, Amer. Math. Monthly, 114 (2007), 665-676.
    • (2007) Amer. Math. Monthly , vol.114 , pp. 665-676
    • Benko, D.1
  • 54
    • 34250946860 scopus 로고
    • Ueber den Rauminhalt
    • M. DEHN: Ueber den Rauminhalt, Mathematische Annalen 55 (1902), 465-478.
    • (1902) Mathematische Annalen , vol.55 , pp. 465-478
    • Dehn, M.1
  • 55
    • 84930741474 scopus 로고
    • Congruenz und Symmetrie": Briefwechsel mit Gerling
    • Werke, Band VIII B. G. Teubner, Leipzig
    • C. F. GAUSS: "Congruenz und Symmetrie": Briefwechsel mit Gerling, pp. 240-249 in: Werke, Band VIII, Königl. Gesellschaft der Wissenschaften zu Göttingen; B. G. Teubner, Leipzig 1900.
    • (1900) Königl. Gesellschaft der Wissenschaften zu Göttingen , pp. 240-249
    • Gauss, C.F.1
  • 57
    • 17044396664 scopus 로고
    • über die Transformation der Polyeder
    • B. KAGAN: über die Transformation der Polyeder, Mathematische Annalen 57 (1903), 421-424.
    • (1903) Mathematische Annalen , vol.57 , pp. 421-424
    • Kagan, B.1
  • 60
    • 1642373637 scopus 로고
    • A problem of collinear points
    • (contains Kelly's proof)
    • H. S. M. COXETER: A problem of collinear points, Amer. Math. Monthly 55 (1948), 26-28 (contains Kelly's proof).
    • (1948) Amer. Math. Monthly , vol.55 , pp. 26-28
    • Coxeter, H.S.M.1
  • 61
    • 0001265699 scopus 로고
    • Problem 4065-Three point collinearity
    • (contains Gallai's proof)
    • P. ERDOS: Problem 4065-Three point collinearity, Amer. Math. Monthly 51 (1944), 169-171 (contains Gallai's proof).
    • (1944) Amer. Math. Monthly , vol.51 , pp. 169-171
    • Erdos, P.1
  • 62
    • 0015142942 scopus 로고
    • On the addressing problem for loop switching
    • R. L. GRAHAM&H. O. POLLAK: On the addressing problem for loop switching, Bell System Tech. J. 50 (1971), 2495-2519.
    • (1971) Bell System Tech. J , vol.50 , pp. 2495-2519
    • Graham, R.L.1    Pollak, H.O.2
  • 63
    • 84881610117 scopus 로고    scopus 로고
    • On sets defining few ordinary lines
    • B. GREEN & T. TAO: On sets defining few ordinary lines, Discrete Comput. Geometry 50 (2013), 409-468.
    • (2013) Discrete Comput. Geometry , vol.50 , pp. 409-468
    • Green, B.1    Tao, T.2
  • 64
  • 65
    • 84986501679 scopus 로고
    • On the decomposition of Kn into complete bipartite graphs
    • H. TVERBERG: On the decomposition of Kn into complete bipartite graphs, J. Graph Theory 6 (1982), 493-494.
    • (1982) J. Graph Theory , vol.6 , pp. 493-494
    • Tverberg, H.1
  • 66
    • 0037520794 scopus 로고
    • A combinatorial perspective on some problems in geometry
    • J. E. GOODMAN & R. POLLACK: A combinatorial perspective on some problems in geometry, Congressus Numerantium 32 (1981), 383-394.
    • (1981) Congressus Numerantium , vol.32 , pp. 383-394
    • Goodman, J.E.1    Pollack, R.2
  • 67
    • 0013014193 scopus 로고
    • A catalogue of slope-critical configurations
    • R. E. JAMISON & D. HILL: A catalogue of slope-critical configurations, Congressus Numerantium 40 (1983), 101-125.
    • (1983) Congressus Numerantium , vol.40 , pp. 101-125
    • Jamison, R.E.1    Hill, D.2
  • 68
    • 0012954691 scopus 로고
    • On the sets of directions determined by n points
    • P. R. SCOTT: On the sets of directions determined by n points, Amer. Math. Monthly 77 (1970), 502-505.
    • (1970) Amer. Math. Monthly , vol.77 , pp. 502-505
    • Scott, P.R.1
  • 69
    • 0039753643 scopus 로고
    • 2N noncollinear points determine at least 2N directions
    • P. UNGAR: 2N noncollinear points determine at least 2N directions, J. Combinatorial Theory, Ser. A 33 (1982), 343-347.
    • (1982) J. Combinatorial Theory, Ser. A , vol.33 , pp. 343-347
    • Ungar, P.1
  • 70
    • 0037520795 scopus 로고
    • Sylvester's problem on collinear points and a relative
    • G. D. CHAKERIAN: Sylvester's problem on collinear points and a relative, Amer. Math. Monthly 77 (1970), 164-167.
    • (1970) Amer. Math. Monthly , vol.77 , pp. 164-167
    • Chakerian, G.D.1
  • 73
    • 0011905366 scopus 로고
    • Verlag der Fr. Korn'schen Buchhandlung, Nürnberg
    • K. G. C. VON STAUDT: Geometrie der Lage, Verlag der Fr. Korn'schen Buchhandlung, Nürnberg 1847.
    • (1847) Geometrie der Lage
    • Von Staudt, K.G.C.1
  • 74
    • 84930722621 scopus 로고
    • Solution 4065/Editorial Note
    • N. E. STEENROD: Solution 4065/Editorial Note, Amer. Math. Monthly 51 (1944), 170-171.
    • (1944) Amer. Math. Monthly , vol.51 , pp. 170-171
    • Steenrod, N.E.1
  • 75
    • 0001997277 scopus 로고
    • Sur les polygones et les polyèdres, seconde mémoire
    • OEuvres Complètes, IIe Série, Vol. 1, Paris 1905, 26-38.
    • A. CAUCHY: Sur les polygones et les polyèdres, seconde mémoire, J. école Polytechnique XVIe Cahier, Tome IX (1813), 87-98; OEuvres Complètes, IIe Série, Vol. 1, Paris 1905, 26-38.
    • (1813) J. école Polytechnique XVIe Cahier, Tome , vol.9 , pp. 87-98
    • Cauchy, A.1
  • 76
    • 51249186858 scopus 로고
    • A counterexample to the rigidity conjecture for polyhedra
    • R. CONNELLY: A counterexample to the rigidity conjecture for polyhedra, Inst. Haut. Etud. Sci., Publ. Math. 47 (1978), 333-338.
    • (1978) Inst. Haut. Etud. Sci., Publ. Math , vol.47 , pp. 333-338
    • Connelly, R.1
  • 77
    • 0041005010 scopus 로고
    • The rigidity of polyhedral surfaces
    • R. CONNELLY: The rigidity of polyhedral surfaces, Mathematics Magazine 52 (1979), 275-283.
    • (1979) Mathematics Magazine , vol.52 , pp. 275-283
    • Connelly, R.1
  • 78
    • 0032264877 scopus 로고    scopus 로고
    • The volume as a metric invariant of polyhedra
    • I. KH. SABITOV: The volume as a metric invariant of polyhedra, Discrete Comput. Geometry 20 (1998), 405-425.
    • (1998) Discrete Comput. Geometry , vol.20 , pp. 405-425
    • Sabitov, I.K.1
  • 79
    • 0037711820 scopus 로고
    • On Cauchy's lemma concerning convex polygons
    • J. SCHOENBERG & S.K. ZAREMBA: On Cauchy's lemma concerning convex polygons, Canadian J. Math. 19 (1967), 1062-1071.
    • (1967) Canadian J. Math , vol.19 , pp. 1062-1071
    • Schoenberg, J.1    Zaremba, S.K.2
  • 82
    • 35748929490 scopus 로고
    • Topology of 3-manifolds and Related Topics
    • (M. K. Fort, ed.), Prentice-Hall Inc.
    • R. H. FOX: A quick trip through knot theory, in: "Topology of 3-manifolds and Related Topics" (M. K. Fort, ed.), Prentice-Hall Inc., 1962, pp. 120-167.
    • (1962) A quick trip through knot theory , pp. 120-167
    • Fox, R.H.1
  • 83
  • 84
    • 0010095924 scopus 로고
    • An elementary proof that the Borromean rings are nonsplittable
    • O. NANYES: An elementary proof that the Borromean rings are nonsplittable, Amer. Math. Monthly 100 (1993), 786-789.
    • (1993) Amer. Math. Monthly , vol.100 , pp. 786-789
    • Nanyes, O.1
  • 85
    • 84951610735 scopus 로고
    • Elementare Begründung der Knotentheorie
    • K. REIDEMEISTER: Elementare Begründung der Knotentheorie, Abh. Math. Sem. Univ. Hamburg 5 (1926), 24-32.
    • (1926) Abh. Math. Sem. Univ. Hamburg , vol.5 , pp. 24-32
    • Reidemeister, K.1
  • 87
    • 84892328665 scopus 로고
    • A conjecture concerning neighboring tetrahedra
    • F. BAGEMIHL: A conjecture concerning neighboring tetrahedra, Amer. Math. Monthly 63 (1956) 328-329.
    • (1956) Amer. Math. Monthly , vol.63 , pp. 328-329
    • Bagemihl, F.1
  • 89
    • 58149275835 scopus 로고
    • At most 2d+1 neighborly simplices in Ed
    • M. A. PERLES: At most 2d+1 neighborly simplices in Ed, Annals of Discrete Math. 20 (1984), 253-254.
    • (1984) Annals of Discrete Math , vol.20 , pp. 253-254
    • Perles, M.A.1
  • 90
    • 85053748276 scopus 로고
    • Neighborly families of 2d d-simplices in Ed
    • J. ZAKS: Neighborly families of 2d d-simplices in Ed, Geometriae Dedicata 11 (1981), 279-296.
    • (1981) Geometriae Dedicata , vol.11 , pp. 279-296
    • Zaks, J.1
  • 91
    • 84892352054 scopus 로고
    • No Nine Neighborly Tetrahedra Exist
    • J. ZAKS: No Nine Neighborly Tetrahedra Exist, Memoirs Amer. Math. Soc. No. 447, Vol. 91, 1991.
    • (1991) Memoirs Amer. Math. Soc. , vol.91 , Issue.447
    • Zaks, J.1
  • 92
    • 0041513294 scopus 로고
    • über zwei Probleme bezüglich konvexer Körper von P. Erdös und von V. L. Klee
    • L. DANZER & B. GRüNBAUM: über zwei Probleme bezüglich konvexer Körper von P. Erdös und von V. L. Klee, Math. Zeitschrift 79 (1962), 95-99.
    • (1962) Math. Zeitschrift , vol.79 , pp. 95-99
    • Danzer, L.1    Grünbaum, B.2
  • 93
    • 14544281908 scopus 로고
    • The greatest angle among n points in the d-dimensional Euclidean space
    • P. ERDOS & Z. FüREDI: The greatest angle among n points in the d-dimensional Euclidean space, Annals of Discrete Math. 17 (1983), 275-283.
    • (1983) Annals of Discrete Math , vol.17 , pp. 275-283
    • Erdos, P.1    Füredi, Z.2
  • 94
    • 85053741769 scopus 로고    scopus 로고
    • Acute sets of exponentially optimal size, Discrete Comput
    • to appear.
    • B. GERENCSéR & V. HARANGI: Acute sets of exponentially optimal size, Discrete Comput. Geometry (2018), to appear.
    • (2018) Geometry
    • Gerencsér, B.1    Harangi, V.2
  • 96
    • 84900328723 scopus 로고    scopus 로고
    • On Borsuk's conjecture for two-distance sets
    • A. V. BONDARENKO: On Borsuk's conjecture for two-distance sets, Discrete Comput. Geometry 51 (2014), 509-515.
    • (2014) Discrete Comput. Geometry , vol.51 , pp. 509-515
    • Bondarenko, A.V.1
  • 97
    • 0001320722 scopus 로고
    • Drei Sätze über die n-dimensionale euklidische Sphäre
    • K. BORSUK: Drei Sätze über die n-dimensionale euklidische Sphäre, Fundamenta Math. 20 (1933), 177-190.
    • (1933) Fundamenta Math , vol.20 , pp. 177-190
    • Borsuk, K.1
  • 98
    • 51249185135 scopus 로고
    • Intersection theorems with geometric consequences
    • P. FRANKL & R. WILSON: Intersection theorems with geometric consequences, Combinatorica 1 (1981), 357-368.
    • (1981) Combinatorica , vol.1 , pp. 357-368
    • Frankl, P.1    Wilson, R.2
  • 99
    • 84938694564 scopus 로고    scopus 로고
    • A 64-dimensional counterexample to Borsuk's conjecture
    • #P4.29
    • T. JENRICH & A. E. BROUWER: A 64-dimensional counterexample to Borsuk's conjecture, Electronic J. Combinatorics 21 (2014), #P4.29.
    • (2014) Electronic J. Combinatorics , vol.21
    • Jenrich, T.1    Brouwer, A.E.2
  • 100
    • 84967774552 scopus 로고
    • A counterexample to Borsuk's conjecture
    • J. KAHN & G. KALAI: A counterexample to Borsuk's conjecture, Bulletin Amer. Math. Soc. 29 (1993), 60-62.
    • (1993) Bulletin Amer. Math. Soc , vol.29 , pp. 60-62
    • Kahn, J.1    Kalai, G.2
  • 101
    • 0002322449 scopus 로고
    • Jerusalem Combinatorics '93
    • On Borsuk's problem (H. Barcelo and G. Kalai, eds.)
    • A. NILLI: On Borsuk's problem, in: "Jerusalem Combinatorics '93" (H. Barcelo and G. Kalai, eds.), Contemporary Mathematics 178, Amer. Math. Soc. 1994, 209-210.
    • (1994) Contemporary Mathematics Amer. Math. Soc. , vol.178 , pp. 209-210
    • Nilli, A.1
  • 102
    • 0039269123 scopus 로고    scopus 로고
    • On the dimension in Borsuk's problem
    • A. M. RAIGORODSKII: On the dimension in Borsuk's problem, Russian Math. Surveys (6) 52 (1997), 1324-1325.
    • (1997) Russian Math. Surveys , vol.52 , Issue.6 , pp. 1324-1325
    • Raigorodskii, A.M.1
  • 103
    • 84971761881 scopus 로고
    • Illuminating sets of constant width
    • O. SCHRAMM: Illuminating sets of constant width, Mathematika 35 (1988), 180-199.
    • (1988) Mathematika , vol.35 , pp. 180-199
    • Schramm, O.1
  • 106
    • 0000384006 scopus 로고
    • Beweis der Invarianz der Dimensionszahl
    • L. E. J. BROUWER: Beweis der Invarianz der Dimensionszahl, Math. Annalen 70 (1911), 161-165.
    • (1911) Math. Annalen , vol.70 , pp. 161-165
    • Brouwer, L.E.J.1
  • 107
    • 0034343137 scopus 로고    scopus 로고
    • Recounting the rationals
    • N. CALKIN & H. WILF: Recounting the rationals, Amer. Math. Monthly 107 (2000), 360-363.
    • (2000) Amer. Math. Monthly , vol.107 , pp. 360-363
    • Calkin, N.1    Wilf, H.2
  • 110
    • 84869064567 scopus 로고
    • An interpolation problem associated with the continuum hypothesis
    • P. ERDOS: An interpolation problem associated with the continuum hypothesis, Michigan Math. J. 11 (1964), 9-10.
    • (1964) Michigan Math. J , vol.11 , pp. 9-10
    • Erdos, P.1
  • 113
    • 21444446606 scopus 로고    scopus 로고
    • A proof of the arithmetic mean-geometric mean inequality
    • H. ALZER: A proof of the arithmetic mean-geometric mean inequality, Amer. Math. Monthly 103 (1996), 585.
    • (1996) Amer. Math. Monthly , vol.103 , pp. 585
    • Alzer, H.1
  • 115
    • 0041888441 scopus 로고
    • On polynomials with only real roots
    • P. ERDOS & T. GRüNWALD: On polynomials with only real roots, Annals Math. 40 (1939), 537-548.
    • (1939) Annals Math , vol.40 , pp. 537-548
    • Erdos, P.1    Grünwald, T.2
  • 117
  • 120
    • 0003938791 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin Heidelberg New York 1972/78; Reprint
    • G. PóLYA & G. SZEGO: Problems and Theorems in Analysis, Vol. I, Springer-Verlag, Berlin Heidelberg New York 1972/78; Reprint 1998.
    • (1998) Problems and Theorems in Analysis , vol.1
    • Pólya, G.1    Szego, G.2
  • 122
    • 11144233208 scopus 로고
    • Réflexions sur la nouvelle théorie d'analyse
    • R. ARGAND: Réflexions sur la nouvelle théorie d'analyse, Annales de Mathématiques 5 (1814), 197-209.
    • (1814) Annales de Mathématiques , vol.5 , pp. 197-209
    • Argand, R.1
  • 123
    • 11144234502 scopus 로고
    • An easy proof of the fundamental theorem of algebra
    • C. FEFFERMAN: An easy proof of the fundamental theorem of algebra, Amer. Math. Monthly 74 (1967), 854-855.
    • (1967) Amer. Math. Monthly , vol.74 , pp. 854-855
    • Fefferman, C.1
  • 125
    • 59149093673 scopus 로고
    • What! Another note just on the fundamental theorem of algebra?
    • R. M. REDHEFFER: What! Another note just on the fundamental theorem of algebra? Amer. Math. Monthly 71 (1964), 180-185.
    • (1964) Amer. Math. Monthly , vol.71 , pp. 180-185
    • Redheffer, R.M.1
  • 127
    • 18844397686 scopus 로고
    • Lectures in Abstract Algebra, Part III: Theory of Fields and Galois Theory
    • Springer, New York
    • N. JACOBSON: Lectures in Abstract Algebra, Part III: Theory of Fields and Galois Theory, Graduate Texts in Mathematics 32, Springer, New York 1975.
    • (1975) Graduate Texts in Mathematics , vol.32
    • Jacobson, N.1
  • 128
    • 0011544458 scopus 로고
    • On dividing a square into triangles
    • P. MONSKY: On dividing a square into triangles, Amer. Math. Monthly 77 (1970), 161-164.
    • (1970) Amer. Math. Monthly , vol.77 , pp. 161-164
    • Monsky, P.1
  • 130
    • 0002257304 scopus 로고
    • Algebra and Tiling: Homomorphisms in the Service of Geometry
    • MAA, Washington DC
    • S. K. STEIN & S. SZABó: Algebra and Tiling: Homomorphisms in the Service of Geometry, Carus Math. Monographs 25, MAA, Washington DC 1994.
    • (1994) Carus Math. Monographs , vol.25
    • Stein, S.K.1    Szabó, S.2
  • 131
    • 0742265432 scopus 로고
    • A dissection problem
    • J. THOMAS: A dissection problem, Math. Magazine 41 (1968), 187-190.
    • (1968) Math. Magazine , vol.41 , pp. 187-190
    • Thomas, J.1
  • 133
    • 33746788161 scopus 로고
    • Beitrag zur Verallgemeinerung des Verzerrungssatzes auf mehrfach zusammenhängenden Gebieten
    • Collected Papers Vol. I, MIT Press 1974, 347-351.
    • G. PóLYA: Beitrag zur Verallgemeinerung des Verzerrungssatzes auf mehrfach zusammenhängenden Gebieten, Sitzungsber. Preuss. Akad. Wiss. Berlin (1928), 228-232; Collected Papers Vol. I, MIT Press 1974, 347-351.
    • (1928) Sitzungsber. Preuss. Akad. Wiss. Berlin , pp. 228-232
    • Pólya, G.1
  • 134
    • 0003938791 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin Heidelberg New York 1976; Reprint
    • G. PóLYA&G. SZEGO: Problems and Theorems in Analysis, Vol. II, Springer-Verlag, Berlin Heidelberg New York 1976; Reprint 1998.
    • (1998) Problems and Theorems in Analysis , vol.2
    • Pólya, G.1    Szego, G.2
  • 135
    • 11544283160 scopus 로고
    • Proof of the van der Waerden conjecture for permanents (in Russian)
    • English translation: Siberian Math. J. 22 (1981), 854-859.
    • G. P. EGORYCHEV: Proof of the van der Waerden conjecture for permanents (in Russian), Sibirsk. Mat. Zh. (6)22 (1981), 65-71; English translation: Siberian Math. J. 22 (1981), 854-859.
    • (1981) Sibirsk. Mat. Zh. , vol.6 , Issue.22 , pp. 65-71
    • Egorychev, G.P.1
  • 136
    • 0001255036 scopus 로고
    • Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix (in Russian
    • English translation: Math. Notes 29 (1981), 475-479.
    • D. I. FALIKMAN: Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix (in Russian), Mat. Zametki 29 (1981) 931-938; English translation: Math. Notes 29 (1981), 475-479.
    • (1981) Mat. Zametki , vol.29 , pp. 931-938
    • Falikman, D.I.1
  • 137
    • 43849083236 scopus 로고    scopus 로고
    • Van der Waerden/Schrijver-Valiant like conjectures and stable (aka hyperbolic) homogeneous polynomials: One theorem for all
    • L. GURVITS: Van der Waerden/Schrijver-Valiant like conjectures and stable (aka hyperbolic) homogeneous polynomials: One theorem for all, Electronic J. Combinatorics 15 (2008), R66.
    • (2008) Electronic J. Combinatorics , vol.15 , pp. R66
    • Gurvits, L.1
  • 138
    • 78651070765 scopus 로고    scopus 로고
    • On Leonid Gurvits's proof for permanents
    • M. LAURENT & A. SCHRIJVER: On Leonid Gurvits's proof for permanents, Amer. Math. Monthly 117 (2010), 903-911.
    • (2010) Amer. Math. Monthly , vol.117 , pp. 903-911
    • Laurent, M.1    Schrijver, A.2
  • 139
    • 33748476970 scopus 로고
    • The van der Waerden conjecture: Two proofs in one year
    • J. H. VAN LINT: The van der Waerden conjecture: Two proofs in one year, Math. Intelligencer (2)4 (1982), 72-77.
    • (1982) Math. Intelligencer , vol.4 , Issue.2 , pp. 72-77
    • Van Lint, J.H.1
  • 143
    • 0010981220 scopus 로고
    • On a lemma of Littlewood and Offord
    • P. ERDOS: On a lemma of Littlewood and Offord, Bulletin Amer. Math. Soc. 51 (1945), 898-902.
    • (1945) Bulletin Amer. Math. Soc , vol.51 , pp. 898-902
    • Erdos, P.1
  • 144
    • 0038339284 scopus 로고
    • On a conjecture of Erdos and a stronger form of Sperner's theorem
    • G. KATONA: On a conjecture of Erdos and a stronger form of Sperner's theorem, Studia Sci. Math. Hungar. 1 (1966), 59-63.
    • (1966) Studia Sci. Math. Hungar , vol.1 , pp. 59-63
    • Katona, G.1
  • 145
    • 0037663570 scopus 로고
    • On a lemma of Littlewood and Offord on the distribution of certain sums
    • D. KLEITMAN: On a lemma of Littlewood and Offord on the distribution of certain sums, Math. Zeitschrift 90 (1965), 251-259.
    • (1965) Math. Zeitschrift , vol.90 , pp. 251-259
    • Kleitman, D.1
  • 146
    • 0038339282 scopus 로고
    • On a lemma of Littlewood and Offord on the distributions of linear combinations of vectors
    • D. KLEITMAN: On a lemma of Littlewood and Offord on the distributions of linear combinations of vectors, Advances Math. 5 (1970), 155-157.
    • (1970) Advances Math , vol.5 , pp. 155-157
    • Kleitman, D.1
  • 147
    • 0005272276 scopus 로고
    • On the number of real roots of a random algebraic equation III
    • J. E. LITTLEWOOD & A. C. OFFORD: On the number of real roots of a random algebraic equation III, Mat. USSR Sb. 12 (1943), 277-285.
    • (1943) Mat. USSR Sb , vol.12 , pp. 277-285
    • Littlewood, J.E.1    Offord, A.C.2
  • 148
    • 84891657037 scopus 로고
    • Book review of "Gesammelte Schriften" by Gustav Herglotz
    • S. BOCHNER: Book review of "Gesammelte Schriften" by Gustav Herglotz, Bulletin Amer. Math. Soc. 1 (1979), 1020-1022.
    • (1979) Bulletin Amer. Math. Soc , vol.1 , pp. 1020-1022
    • Bochner, S.1
  • 150
    • 0004105303 scopus 로고
    • Introductio in Analysin Infinitorum, Tomus Primus, Lausanne 1748
    • Opera Omnia, Ser. 1 (translated by J. D. Blanton), Springer-Verlag, New York
    • L. EULER: Introductio in Analysin Infinitorum, Tomus Primus, Lausanne 1748; Opera Omnia, Ser. 1, Vol. 8. In English: Introduction to Analysis of the Infinite, Book I (translated by J. D. Blanton), Springer-Verlag, New York 1988.
    • (1988) In English: Introduction to Analysis of the Infinite, Book I , vol.8
    • Euler, L.1
  • 152
    • 0003210381 scopus 로고
    • Note sur le problème de l'aiguille et le jeu du joint couvert
    • E. BARBIER: Note sur le problème de l'aiguille et le jeu du joint couvert, J. Mathématiques Pures et Appliquées (2) 5 (1860), 273-286.
    • (1860) J. Mathématiques Pures et Appliquées , vol.5 , Issue.2 , pp. 273-286
    • Barbier, E.1
  • 154
    • 0008123630 scopus 로고
    • Histoire naturelle générale et particulière
    • Essai d'arithmétique morale, Appendix to
    • G. L. LECLERC, COMTE DE BUFFON: Essai d'arithmétique morale, Appendix to "Histoire naturelle générale et particulière," Vol. 4, 1777.
    • (1777) , vol.4
    • Leclerc, G.L.1    De Buffon, C.2
  • 155
    • 0004119908 scopus 로고    scopus 로고
    • Introduction to Geometric Probability
    • Cambridge University Press
    • D. A. KLAIN & G.-C. ROTA: Introduction to Geometric Probability, "Lezioni Lincee," Cambridge University Press 1997.
    • (1997) Lezioni Lincee
    • Klain, D.A.1    Rota, G.-C.2
  • 157
    • 34250967150 scopus 로고
    • über Abbildungen von Mannigfaltigkeiten
    • L. E. J. BROUWER: über Abbildungen von Mannigfaltigkeiten, Math. Annalen 71 (1912), 97-115.
    • (1912) Math. Annalen , vol.71 , pp. 97-115
    • Brouwer, L.E.J.1
  • 158
    • 0001714933 scopus 로고
    • On graphs that do not contain a Thomsen graph
    • W. G. BROWN: On graphs that do not contain a Thomsen graph, Canadian Math. Bull. 9 (1966), 281-285.
    • (1966) Canadian Math. Bull , vol.9 , pp. 281-285
    • Brown, W.G.1
  • 160
    • 0001086798 scopus 로고
    • A combinatorial problem in geometry
    • P. ERDOS & G. SZEKERES: A combinatorial problem in geometry, Compositio Math. (1935), 463-470.
    • (1935) Compositio Math , pp. 463-470
    • Erdos, P.1    Szekeres, G.2
  • 161
    • 0039614257 scopus 로고    scopus 로고
    • The order dimension of the complete graph
    • S. HOSTEN & W. D. MORRIS: The order dimension of the complete graph, Discrete Math. 201 (1999), 133-139.
    • (1999) Discrete Math , vol.201 , pp. 133-139
    • Hosten, S.1    Morris, W.D.2
  • 162
    • 0000215672 scopus 로고
    • über ein Problem von K. Zarankiewicz
    • I. REIMAN: über ein Problem von K. Zarankiewicz, Acta Math. Acad. Sci. Hungar. 9 (1958), 269-273.
    • (1958) Acta Math. Acad. Sci. Hungar , vol.9 , pp. 269-273
    • Reiman, I.1
  • 163
    • 0010053418 scopus 로고
    • Minimal scrambling sets of simple orders
    • J. SPENCER: Minimal scrambling sets of simple orders, Acta Math. Acad. Sci. Hungar. 22 (1971), 349-353.
    • (1971) Acta Math. Acad. Sci. Hungar , vol.22 , pp. 349-353
    • Spencer, J.1
  • 164
    • 0000549502 scopus 로고
    • Neuer Beweis für die Invarianz der Dimensionszahl und des Gebietes
    • E. SPERNER: Neuer Beweis für die Invarianz der Dimensionszahl und des Gebietes, Abh. Math. Sem. Hamburg 6 (1928), 265-272.
    • (1928) Abh. Math. Sem. Hamburg , vol.6 , pp. 265-272
    • Sperner, E.1
  • 167
    • 0041128204 scopus 로고
    • Filling boxes with bricks
    • N. G. DE BRUIJN: Filling boxes with bricks, Amer. Math. Monthly 76 (1969), 37-40.
    • (1969) Amer. Math. Monthly , vol.76 , pp. 37-40
    • De Bruijn, N.G.1
  • 168
    • 0000910628 scopus 로고
    • über die Zerlegung von Rechtecken in Rechtecke
    • M. DEHN: über die Zerlegung von Rechtecken in Rechtecke, Mathematische Annalen 57 (1903), 314-332.
    • (1903) Mathematische Annalen , vol.57 , pp. 314-332
    • Dehn, M.1
  • 169
    • 0011630728 scopus 로고
    • Fourteen proofs of a result about tiling a rectangle
    • S. WAGON: Fourteen proofs of a result about tiling a rectangle, Amer. Math. Monthly 94 (1987), 601-617.
    • (1987) Amer. Math. Monthly , vol.94 , pp. 601-617
    • Wagon, S.1
  • 170
    • 0040254759 scopus 로고
    • A combinatorial algorithm
    • T. E. EASTERFIELD: A combinatorial algorithm, J. London Math. Soc. 21 (1946), 219-226.
    • (1946) J. London Math. Soc , vol.21 , pp. 219-226
    • Easterfield, T.E.1
  • 171
    • 84960611591 scopus 로고
    • Intersection theorems for systems of finite sets
    • P. ERDOS, C. KO & R. RADO: Intersection theorems for systems of finite sets, Quart. J. Math. (Oxford), Ser. (2) 12 (1961), 313-320.
    • (1961) Quart. J. Math. (Oxford), Ser , vol.12 , Issue.2 , pp. 313-320
    • Erdos, P.1    Ko, C.2    Rado, R.3
  • 172
    • 84963056434 scopus 로고
    • On representatives of subsets
    • P. HALL: On representatives of subsets, J. London Math. Soc. 10 (1935), 26-30.
    • (1935) J. London Math. Soc , vol.10 , pp. 26-30
    • Hall, P.1
  • 174
    • 0013547040 scopus 로고
    • A simple proof of the Erd?os-Ko-Rado theorem
    • G. KATONA: A simple proof of the Erd?os-Ko-Rado theorem, J. Combinatorial Theory, Ser. B 13 (1972), 183-184.
    • (1972) J. Combinatorial Theory, Ser. B , vol.13 , pp. 183-184
    • Katona, G.1
  • 176
    • 58149418088 scopus 로고
    • A short proof of Sperner's theorem
    • D. LUBELL: A short proof of Sperner's theorem, J. Combinatorial Theory 1 (1966), 299.
    • (1966) J. Combinatorial Theory , vol.1 , pp. 299
    • Lubell, D.1
  • 177
    • 0000657407 scopus 로고
    • Ein Satz über Untermengen einer endlichen Menge
    • E. SPERNER: Ein Satz über Untermengen einer endlichen Menge, Math. Zeitschrift 27 (1928), 544-548.
    • (1928) Math. Zeitschrift , vol.27 , pp. 544-548
    • Sperner, E.1
  • 178
    • 0001318567 scopus 로고
    • Shuffling cards and stopping times
    • D. ALDOUS & P. DIACONIS: Shuffling cards and stopping times, Amer. Math. Monthly 93 (1986), 333-348.
    • (1986) Amer. Math. Monthly , vol.93 , pp. 333-348
    • Aldous, D.1    Diaconis, P.2
  • 179
    • 0000902594 scopus 로고
    • Trailing the dovetail shuffle to its lair
    • D. BAYER & P. DIACONIS: Trailing the dovetail shuffle to its lair, Annals Applied Probability 2 (1992), 294-313.
    • (1992) Annals Applied Probability , vol.2 , pp. 294-313
    • Bayer, D.1    Diaconis, P.2
  • 181
    • 23244448674 scopus 로고    scopus 로고
    • Groups, Combinatorics and Geometry. Durham 2001
    • (A. A. Ivanov, M. W. Liebeck and J. Saxl, eds.), World Scientific, Singapore
    • P. DIACONIS: Mathematical developments from the analysis of riffle shuffling, in: "Groups, Combinatorics and Geometry. Durham 2001" (A. A. Ivanov, M. W. Liebeck and J. Saxl, eds.), World Scientific, Singapore 2003, pp. 73-97.
    • (2003) Mathematical developments from the analysis of riffle shuffling , pp. 73-97
    • Diaconis, P.1
  • 183
    • 0012877713 scopus 로고
    • Technical Memorandum, Bell Laboratories, Murray Hill NJ
    • E. N. GILBERT: Theory of Shuffling, Technical Memorandum, Bell Laboratories, Murray Hill NJ, 1955.
    • (1955) Theory of Shuffling
    • Gilbert, E.N.1
  • 185
    • 33845907500 scopus 로고
    • On the vector representation of induced matroids
    • B. LINDSTRöM: On the vector representation of induced matroids, Bulletin London Math. Soc. 5 (1973), 85-90.
    • (1973) Bulletin London Math. Soc , vol.5 , pp. 85-90
    • Lindström, B.1
  • 186
    • 85053745831 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin Heidelberg New York 1979; Reprint
    • M. AIGNER: Combinatorial Theory, Springer-Verlag, Berlin Heidelberg New York 1979; Reprint 1997.
    • (1997) Combinatorial Theor
    • Aigner, M.1
  • 187
    • 84981313698 scopus 로고    scopus 로고
    • Cayley's formula: A page from The Book
    • A. AVRON & N. DERSHOWITZ: Cayley's formula: A page from The Book, Amer. Math. Monthly 123 (2016), 699-700.
    • (2016) Amer. Math. Monthly , vol.123 , pp. 699-700
    • Avron, A.1    Dershowitz, N.2
  • 189
    • 0000663867 scopus 로고
    • A theorem on trees
    • Collected Mathematical Papers Vol. 13, Cambridge University Press 1897, 26-28
    • A. CAYLEY: A theorem on trees, Quart. J. Pure Appl. Math. 23 (1889), 376-378; Collected Mathematical Papers Vol. 13, Cambridge University Press 1897, 26-28.
    • (1889) Quart. J. Pure Appl. Math , vol.23 , pp. 376-378
    • Cayley, A.1
  • 190
    • 0002663026 scopus 로고
    • Une théorie combinatoire des séries formelles
    • A. JOYAL: Une théorie combinatoire des séries formelles, Advances in Math. 42 (1981), 1-82.
    • (1981) Advances in Math , vol.42 , pp. 1-82
    • Joyal, A.1
  • 192
    • 0000893747 scopus 로고
    • Neuer Beweis eines Satzes über Permutationen
    • H. PRüFER: Neuer Beweis eines Satzes über Permutationen, Archiv der Math. u. Physik (3) 27 (1918), 142-144.
    • (1918) Archiv der Math. u. Physik , vol.27 , Issue.3 , pp. 142-144
    • Prüfer, H.1
  • 193
    • 0001829603 scopus 로고
    • Some remarks on the theory of trees
    • (Publ. math. Inst. Hungar. Acad. Sci.) Selected Papers Vol. 2, Akadémiai Kiadó, Budapest 1976, 363-374.
    • A. RéNYI: Some remarks on the theory of trees. MTA Mat. Kut. Inst. Kozl. (Publ. math. Inst. Hungar. Acad. Sci.) 4 (1959), 73-85; Selected Papers Vol. 2, Akadémiai Kiadó, Budapest 1976, 363-374.
    • (1959) MTA Mat. Kut. Inst. Kozl. , vol.4 , pp. 73-85
    • Rényi, A.1
  • 194
    • 0009186604 scopus 로고
    • Forests of labeled trees
    • J. RIORDAN: Forests of labeled trees, J. Combinatorial Theory 5 (1968), 90-103.
    • (1968) J. Combinatorial Theory , vol.5 , pp. 90-103
    • Riordan, J.1
  • 196
    • 0040197097 scopus 로고
    • Bijecting Euler's partitions-recurrence
    • D. BRESSOUD & D. ZEILBERGER: Bijecting Euler's partitions-recurrence, Amer. Math. Monthly 92 (1985), 54-55.
    • (1985) Amer. Math. Monthly , vol.92 , pp. 54-55
    • Bressoud, D.1    Zeilberger, D.2
  • 198
    • 0001410256 scopus 로고
    • Proof of certain identities in combinatory analysis
    • S. RAMANUJAN: Proof of certain identities in combinatory analysis, Proc. Cambridge Phil. Soc. 19 (1919), 214-216.
    • (1919) Proc. Cambridge Phil. Soc , vol.19 , pp. 214-216
    • Ramanujan, S.1
  • 199
    • 84960587118 scopus 로고
    • Second memoir on the expansion of certain infinite products
    • L. J. ROGERS: Second memoir on the expansion of certain infinite products, Proc. London Math. Soc. 25 (1894), 318-343.
    • (1894) Proc. London Math. Soc , vol.25 , pp. 318-343
    • Rogers, L.J.1
  • 200
    • 0010221289 scopus 로고
    • On Kakeya's problem and a similar one
    • A. S. BESICOVITCH: On Kakeya's problem and a similar one, Math. Zeitschrift 27 (1928), 312-320.
    • (1928) Math. Zeitschrift , vol.27 , pp. 312-320
    • Besicovitch, A.S.1
  • 201
    • 41949141576 scopus 로고
    • The Kakeya problem for simply connected and for starshaped sets
    • F. CUNNINGHAM, JR.: The Kakeya problem for simply connected and for starshaped sets, Amer. Math. Monthly 78 (1971), 114-129.
    • (1971) Amer. Math. Monthly , vol.78 , pp. 114-129
    • Cunningham, F.1
  • 202
    • 70349831495 scopus 로고    scopus 로고
    • On the size of Kakeya sets in finite fields
    • Z. DVIR: On the size of Kakeya sets in finite fields, J. Amer. Math. Soc. 22 (2009), 1093-1097.
    • (2009) J. Amer. Math. Soc , vol.22 , pp. 1093-1097
    • Dvir, Z.1
  • 204
    • 0002623032 scopus 로고    scopus 로고
    • From rotating needles to stability of waves: emerging connections between combinatorics
    • T. TAO: From rotating needles to stability of waves: emerging connections between combinatorics, analysis, and PDE, Notices Amer. Math. Soc. 48 (2001), 294-303.
    • (2001) analysis, and PDE, Notices Amer. Math. Soc , vol.48 , pp. 294-303
    • Tao, T.1
  • 205
  • 206
    • 0038019236 scopus 로고    scopus 로고
    • On some variants of the Kakeya problem
    • T. WOLFF: On some variants of the Kakeya problem, Pacific J. Math. 190 (1999), 111-154.
    • (1999) Pacific J. Math , vol.190 , pp. 111-154
    • Wolff, T.1
  • 207
    • 0013537441 scopus 로고
    • Embedding incomplete Latin squares
    • T. EVANS: Embedding incomplete Latin squares, Amer. Math. Monthly 67 (1960), 958-961.
    • (1960) Amer. Math. Monthly , vol.67 , pp. 958-961
    • Evans, T.1
  • 208
    • 0041486315 scopus 로고
    • On completing Latin rectangles
    • C. C. LINDNER: On completing Latin rectangles, Canadian Math. Bulletin 13 (1970), 65-68.
    • (1970) Canadian Math. Bulletin , vol.13 , pp. 65-68
    • Lindner, C.C.1
  • 209
    • 84968521851 scopus 로고
    • A combinatorial theorem with an application to Latin rectangles
    • H. J. RYSER: A combinatorial theorem with an application to Latin rectangles, Proc. Amer. Math. Soc. 2 (1951), 550-552.
    • (1951) Proc. Amer. Math. Soc , vol.2 , pp. 550-552
    • Ryser, H.J.1
  • 210
    • 0042488236 scopus 로고
    • A new construction on Latin squares I: A proof of the Evans conjecture
    • B. SMETANIUK: A new construction on Latin squares I: A proof of the Evans conjecture, Ars Combinatoria 11 (1981), 155-172.
    • (1981) Ars Combinatoria , vol.11 , pp. 155-172
    • Smetaniuk, B.1
  • 212
    • 0000906859 scopus 로고
    • Some properties of nonnegative matrices and their permanents
    • L. BRéGMAN: Some properties of nonnegative matrices and their permanents, Soviet Math. Doklady 14 (1973), 945-949.
    • (1973) Soviet Math. Doklady , vol.14 , pp. 945-949
    • Brégman, L.1
  • 218
    • 84940644968 scopus 로고
    • A Mathematical Theory of Communication
    • C. SHANNON: A Mathematical Theory of Communication, Bell System Technical Journal 27 (1948), 379-423, 623-656.
    • (1948) Bell System Technical Journal , vol.27
    • Shannon, C.1
  • 220
    • 0003165311 scopus 로고
    • College admissions and the stability of marriage
    • D. GALE & L. S. SHAPLEY: College admissions and the stability of marriage, Amer. Math. Monthly 69 (1962), 9-15.
    • (1962) Amer. Math. Monthly , vol.69 , pp. 9-15
    • Gale, D.1    Shapley, L.S.2
  • 221
    • 0001223187 scopus 로고
    • The list chromatic index of a bipartite multigraph
    • F. GALVIN: The list chromatic index of a bipartite multigraph, J. Combinatorial Theory, Ser. B 63 (1995), 153-158.
    • (1995) J. Combinatorial Theory, Ser. B , vol.63 , pp. 153-158
    • Galvin, F.1
  • 222
    • 84967710281 scopus 로고
    • The Dinitz problem solved for rectangles
    • J. C. M. JANSSEN: The Dinitz problem solved for rectangles, Bulletin Amer. Math. Soc. 29 (1993), 243-249.
    • (1993) Bulletin Amer. Math. Soc , vol.29 , pp. 243-249
    • Janssen, J.C.M.1
  • 223
    • 0002221232 scopus 로고
    • Coloring the vertices of a graph in prescribed colours (in Russian)
    • V. G. VIZING: Coloring the vertices of a graph in prescribed colours (in Russian), Metody Diskret. Analiz. 101 (1976), 3-10.
    • (1976) Metody Diskret. Analiz , vol.101 , pp. 3-10
    • Vizing, V.G.1
  • 224
    • 0000576339 scopus 로고
    • Colorings and orientations of graphs
    • N. ALON & M. TARSI: Colorings and orientations of graphs, Combinatorica 12 (1992), 125-134.
    • (1992) Combinatorica , vol.12 , pp. 125-134
    • Alon, N.1    Tarsi, M.2
  • 227
    • 67349170978 scopus 로고    scopus 로고
    • Formal proof - the Four-Color Theorem
    • G. GONTHIER: Formal proof - the Four-Color Theorem, Notices of the AMS (11) 55 (2008), 1382-1393.
    • (2008) Notices of the AMS , vol.55 , Issue.11 , pp. 1382-1393
    • Gonthier, G.1
  • 228
    • 0000027149 scopus 로고    scopus 로고
    • The complexity of planar graph choosability
    • S. GUTNER: The complexity of planar graph choosability, Discrete Math. 159 (1996), 119-130.
    • (1996) Discrete Math , vol.159 , pp. 119-130
    • Gutner, S.1
  • 232
    • 43949166590 scopus 로고
    • List colorings of planar graphs
    • M. VOIGT: List colorings of planar graphs, Discrete Math. 120 (1993), 215-219.
    • (1993) Discrete Math , vol.120 , pp. 215-219
    • Voigt, M.1
  • 233
    • 0031542607 scopus 로고    scopus 로고
    • On 3-colorable non-4-choosable planar graphs
    • M. VOIGT & B. WIRTH: On 3-colorable non-4-choosable planar graphs, J. Graph Theory 24 (1997), 233-235.
    • (1997) J. Graph Theory , vol.24 , pp. 233-235
    • Voigt, M.1    Wirth, B.2
  • 234
    • 34547142702 scopus 로고
    • A combinatorial theorem in plane geometry
    • V. CHVáTAL: A combinatorial theorem in plane geometry, J. Combinatorial Theory, Ser. B 18 (1975), 39-41.
    • (1975) J. Combinatorial Theory, Ser. B , vol.18 , pp. 39-41
    • Chvátal, V.1
  • 235
    • 0001170899 scopus 로고
    • A short proof of Chvátal's watchman theorem
    • S. FISK: A short proof of Chvátal's watchman theorem, J. Combinatorial Theory, Ser. B 24 (1978), 374.
    • (1978) J. Combinatorial Theory, Ser. B , vol.24 , pp. 374
    • Fisk, S.1
  • 237
    • 34250958061 scopus 로고
    • über die Zerlegung von Dreieckspolyedern in Tetraeder
    • E. SCHöNHARDT: über die Zerlegung von Dreieckspolyedern in Tetraeder, Math. Annalen 98 (1928), 309-312.
    • (1928) Math. Annalen , vol.98 , pp. 309-312
    • Schönhardt, E.1
  • 238
    • 21844491228 scopus 로고
    • Turán's graph theorem
    • M. AIGNER: Turán's graph theorem, Amer. Math. Monthly 102 (1995), 808-816.
    • (1995) Amer. Math. Monthly , vol.102 , pp. 808-816
    • Aigner, M.1
  • 240
    • 0012974874 scopus 로고
    • On the graph theorem of Turán (in Hungarian)
    • P. ERDOS: On the graph theorem of Turán (in Hungarian), Math. Fiz. Lapok 21 (1970), 249-251.
    • (1970) Math. Fiz. Lapok , vol.21 , pp. 249-251
    • Erdos, P.1
  • 241
    • 0000230999 scopus 로고
    • Maxima for graphs and a new proof of a theorem of Turán
    • T. S. MOTZKIN & E. G. STRAUS: Maxima for graphs and a new proof of a theorem of Turán, Canad. J. Math. 17 (1965), 533-540.
    • (1965) Canad. J. Math , vol.17 , pp. 533-540
    • Motzkin, T.S.1    Straus, E.G.2
  • 242
    • 0001263144 scopus 로고
    • On an extremal problem in graph theory
    • P. TURáN: On an extremal problem in graph theory, Math. Fiz. Lapok 48 (1941), 436-452.
    • (1941) Math. Fiz. Lapok , vol.48 , pp. 436-452
    • Turán, P.1
  • 244
    • 0041004823 scopus 로고
    • Eigenvalue methods
    • (A. Schrijver, ed.), Math. Centre Tracts
    • W. HAEMERS: Eigenvalue methods, in: "Packing and Covering in Combinatorics" (A. Schrijver, ed.), Math. Centre Tracts 106 (1979), 15-38.
    • (1979) "Packing and Covering in Combinatorics" , vol.106 , pp. 15-38
    • Haemers, W.1
  • 245
  • 246
    • 84938009281 scopus 로고
    • The zero-error capacity of a noisy channel
    • C. E. SHANNON: The zero-error capacity of a noisy channel, IRE Trans. Information Theory 3 (1956), 3-15.
    • (1956) IRE Trans. Information Theory , vol.3 , pp. 3-15
    • Shannon, C.E.1
  • 247
    • 0000115995 scopus 로고
    • A short proof of Kneser's conjecture
    • I. BáRáNY: A short proof of Kneser's conjecture, J. Combinatorial Theory, Ser. B 25 (1978), 325-326.
    • (1978) J. Combinatorial Theory, Ser. B , vol.25 , pp. 325-326
    • Bárány, I.1
  • 248
    • 0001320722 scopus 로고
    • Drei Sätze über die n-dimensionale Sphäre
    • K. BORSUK: Drei Sätze über die n-dimensionale Sphäre, Fundamenta Math. 20 (1933), 177-190.
    • (1933) Fundamenta Math , vol.20 , pp. 177-190
    • Borsuk, K.1
  • 249
    • 85053743179 scopus 로고    scopus 로고
    • Neighboring vertices on a convex polyhedron, in: "Linear Inequalities and Related Systems" (H. W. Kuhn, A. W. Tucker, eds.), Princeton University Press, Princeton 1956, 255-263.
    • D. GALE: Neighboring vertices on a convex polyhedron, in: "Linear Inequalities and Related Systems" (H. W. Kuhn, A. W. Tucker, eds.), Princeton University Press, Princeton 1956, 255-263.
    • Gale, D.1
  • 250
    • 0036906064 scopus 로고    scopus 로고
    • A new short proof of Kneser's conjecture
    • J. E. GREENE: A new short proof of Kneser's conjecture, American Math. Monthly 109 (2002), 918-920.
    • (2002) American Math. Monthly , vol.109 , pp. 918-920
    • Greene, J.E.1
  • 255
    • 2542539824 scopus 로고    scopus 로고
    • A combinatorial proof of Kneser's conjecture
    • J. MATOUŠEK: A combinatorial proof of Kneser's conjecture, Combinatorica 24 (2004), 163-170.
    • (2004) Combinatorica , vol.24 , pp. 163-170
    • Matoušek, J.1
  • 257
    • 84873842887 scopus 로고
    • Regularly k-path connected graphs
    • A. KOTZIG: Regularly k-path connected graphs, Congressus Numerantium 40 (1983), 137-141.
    • (1983) Congressus Numerantium , vol.40 , pp. 137-141
    • Kotzig, A.1
  • 261
    • 67650374383 scopus 로고    scopus 로고
    • A new upper bound for diagonal Ramsey numbers
    • D. CONLON: A new upper bound for diagonal Ramsey numbers, Annals Math. 170 (2009), 941-960.
    • (2009) Annals Math , vol.170 , pp. 941-960
    • Conlon, D.1
  • 262
    • 0000534645 scopus 로고
    • Some remarks on the theory of graphs
    • P. ERDOS: Some remarks on the theory of graphs, Bulletin Amer. Math. Soc. 53 (1947), 292-294.
    • (1947) Bulletin Amer. Math. Soc , vol.53 , pp. 292-294
    • Erdos, P.1
  • 263
    • 0001869610 scopus 로고
    • Graph theory and probability
    • P. ERDOS: Graph theory and probability, Canadian J. Math. 11 (1959), 34-38.
    • (1959) Canadian J. Math , vol.11 , pp. 34-38
    • Erdos, P.1
  • 264
    • 0012716577 scopus 로고
    • On a combinatorial problem I
    • P. ERDOS: On a combinatorial problem I, Nordisk Math. Tidskrift 11 (1963), 5-10.
    • (1963) Nordisk Math. Tidskrift , vol.11 , pp. 5-10
    • Erdos, P.1
  • 265
  • 268
    • 0034406591 scopus 로고    scopus 로고
    • Improved bounds and algorithms for hypergraph 2-coloring
    • J. RADHAKRISHNAN & A. SRINIVASAN: Improved bounds and algorithms for hypergraph 2-coloring, Random Struct. Algorithms 16 (2000), 4-32.
    • (2000) Random Struct. Algorithms , vol.16 , pp. 4-32
    • Radhakrishnan, J.1    Srinivasan, A.2
  • 269
    • 0346660395 scopus 로고    scopus 로고
    • Crossing numbers and hard Erd?os problems in discrete geometry
    • L. A. SZéKELY: Crossing numbers and hard Erd?os problems in discrete geometry, Combinatorics, Probability, and Computing 6 (1997), 353-358.
    • (1997) Combinatorics, Probability, and Computing , vol.6 , pp. 353-358
    • Székely, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.