Mathematical problems

Bulletin of the American Mathematical Society

Volumn 37, Issue 4, 2000, Pages 407-458

  Hilbert, David ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039016083     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0273-0979-00-00881-8     Document Type: Article

References (178)

1. ALON N., KATCHALSKI M., PULLEYBLANK W.R., The maximum size of a convex polygon in a restricted set of points in the plane, Discrete Comput. Geom. 4 (1989), 245-251. MR 91a:52006
2. ALON N., KATCHALSKI M., PULLEYBLANK W.R., The maximum size of a convex polygon in a restricted set of points in the plane, Discrete Comput. Geom. 4 (1989), 245-251. MR 91a:52006
3. AMBARCUMJAN R. V., Convex subclusters of point clusters in the plane, (Russian) Dokl. Acad. Nauk Armjan. SSR 43 (1966), 12-14. MR 34:8277
4. AMBARCUMJAN R. V., Convex subclusters of point clusters in the plane, (Russian) Dokl. Acad. Nauk Armjan. SSR 43 (1966), 12-14. MR 34:8277
5. Avis D., RAPPAPORT D., Computing the largest empty convex subsets of a set of points, Proc. First ACM Symp. Comput. Geom. Baltimore, 1985, pp. 161-167.
6. BÁRÁNY I., FÜREDI Z., Empty simplices in Euclidean space, Canad. Math. Bull. 30 (1987), 436-445. MR 89g:52004
7. BÁRÁNY I., FÜREDI Z., Empty simplices in Euclidean space, Canad. Math. Bull. 30 (1987), 436-445. MR 89g:52004
8. BÁRÁNY I., VALTR P., A positive fraction Erdos-Szekeres theorem, Discrete Comput. Geom. 19 (1998), 335-342. MR 99a:52024
9. BÁRÁNY I., VALTR P., A positive fraction Erdos-Szekeres theorem, Discrete Comput. Geom. 19 (1998), 335-342. MR 99a:52024
10. BIALOSTOCKI A., DIERKER P., VOXMAN B., Some notes on the Erdos-Szekeres theorem, Discrete Math. 91 (1991), 231-238. MR 92k:52034
11. BIALOSTOCKI A., DIERKER P., VOXMAN B., Some notes on the Erdos-Szekeres theorem, Discrete Math. 91 (1991), 231-238. MR 92k:52034
12. BISZTRICZKY T., FEJES TÓTH G., A generalization of the Erdos-Szekeres convex n-gon theorem, J. Reine Angew. Math. 395 (1989), 167-170. MR 90b:52005
13. BISZTRICZKY T., FEJES TÓTH G., A generalization of the Erdos-Szekeres convex n-gon theorem, J. Reine Angew. Math. 395 (1989), 167-170. MR 90b:52005
14. BISZTRICZKY T., FEJES TÓTH G., Nine convex sets determine a pentagon with convex sets as vertices, Geom. Dedicata 31 (1989), 89-104. MR 90h:52003
15. BISZTRICZKY T., FEJES TÓTH G., Nine convex sets determine a pentagon with convex sets as vertices, Geom. Dedicata 31 (1989), 89-104. MR 90h:52003
16. BISZTRICZKY T., FEJES TÓTH G., Convexly independent sets, Combinatorica 10 (1990), 195-202. MR 92c:52005
17. BISZTRICZKY T., FEJES TÓTH G., Convexly independent sets, Combinatorica 10 (1990), 195-202. MR 92c:52005
18. BISZTRICZKY T., HARBORTH H., On empty convex polytopes, J. Geom. 52 (1995), 25-29. MR 95m:52038
19. BISZTRICZKY T., HARBORTH H., On empty convex polytopes, J. Geom. 52 (1995), 25-29. MR 95m:52038
20. BISZTRICZKY T., SOLTAN V., Some Erdos-Szekeres type results about points in space, Monatsh. Math. 118 (1994), 33-40. MR 95e:52026
21. BISZTRICZKY T., SOLTAN V., Some Erdos-Szekeres type results about points in space, Monatsh. Math. 118 (1994), 33-40. MR 95e:52026
22. BONNICE W.E., On convex polygons determined by a finite planar set, Amer. Math. Monthly 81 (1974), 749-752. MR 50:8301
23. BONNICE W.E., On convex polygons determined by a finite planar set, Amer. Math. Monthly 81 (1974), 749-752. MR 50:8301
24. BORWEIN P.B., On monochromatic triangles, J. Combin. Theory Ser. A 37 (1984), 200-204. MR 85h:52013
25. BORWEIN P.B., On monochromatic triangles, J. Combin. Theory Ser. A 37 (1984), 200-204. MR 85h:52013
26. CARATHÉODORY C., Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen, Rend. Circ. Mat. Palermo 32 (1911), 193-217.
27. CARO Y., On the generalized Erdos-Szekeres conjecture - a new upper bound, Discrete Math. 160 (1996), 229-233. MR 97h:52023
28. CARO Y., On the generalized Erdos-Szekeres conjecture - a new upper bound, Discrete Math. 160 (1996), 229-233. MR 97h:52023
29. CHUNG F.R.L., GRAHAM R.L., Forced convex n-gons in the plane, Discrete Comput. Geom. 19 (1998), 367-371. MR 99e:52020
30. CHUNG F.R.L., GRAHAM R.L., Forced convex n-gons in the plane, Discrete Comput. Geom. 19 (1998), 367-371. MR 99e:52020
31. CHUNG F.R.L., GRAHAM R.L., Erdos on Graphs. His Legacy of Unsolved Problems. A. K. Peters, Ltd., Wellesley, MA, 1998. MR 99b:05031
32. CHUNG F.R.L., GRAHAM R.L., Erdos on Graphs. His Legacy of Unsolved Problems. A. K. Peters, Ltd., Wellesley, MA, 1998. MR 99b:05031
33. CHVÁTAL V., KLINCSEK G., Finding largest convex subsets, Congr. Numer. 29 (1980), 453-460. MR 82i:52001
34. CHVÁTAL V., KLINCSEK G., Finding largest convex subsets, Congr. Numer. 29 (1980), 453-460. MR 82i:52001
35. COPPEL W. A., Foundations of Convex Geometry, Cambridge University Press, Cambridge, 1998, 222 pp. MR 99f:52001
36. COPPEL W. A., Foundations of Convex Geometry, Cambridge University Press, Cambridge, 1998, 222 pp. MR 99f:52001
37. CROFT H.T., FALCONER K.J., GUY R.K., Unsolved Problems in Geometry, Springer-Verlag, New York, 1991. (Corrected reprint: Springer-Verlag, New York, 1994) MR 92c:52001; MR 95k:52001
38. CROFT H.T., FALCONER K.J., GUY R.K., Unsolved Problems in Geometry, Springer-Verlag, New York, 1991. (Corrected reprint: Springer-Verlag, New York, 1994) MR 92c:52001; MR 95k:52001
39. CROFT H.T., FALCONER K.J., GUY R.K., Unsolved Problems in Geometry, Springer-Verlag, New York, 1991. (Corrected reprint: Springer-Verlag, New York, 1994) MR 92c:52001; MR 95k:52001
40. DANZER L., GRÜNBAUM B., KLEE V., Helly's theorem and its relatives, pp. 101-179. Convexity (Seattle, 1961), Proc. Symp. Pure Math. Vol. VII. Amer. Math. Soc., Providence, R.I., 1963. MR 28:524
41. DANZER L., GRÜNBAUM B., KLEE V., Helly's theorem and its relatives, pp. 101-179. Convexity (Seattle, 1961), Proc. Symp. Pure Math. Vol. VII. Amer. Math. Soc., Providence, R.I., 1963. MR 28:524
42. DOBKIN D.P., EDELSBRUNNER H., OVERMARS M., Searching for empty convex polygons, Algorithmica 5 (1990), 561-571. MR 91g:68160
43. DOBKIN D.P., EDELSBRUNNER H., OVERMARS M., Searching for empty convex polygons, Algorithmica 5 (1990), 561-571. MR 91g:68160
44. DUMITRESCU A., Planar point sets with few empty convex polygons, Studia Sci. Math. Hungar. 36 (2000), to appear.
45. EDELMAN P.H., JAMISON R.E., The theory of convex geometries, Geom. Dedicata 19 (1985), 247-270. MR 87f:52002
46. EDELMAN P.H., JAMISON R.E., The theory of convex geometries, Geom. Dedicata 19 (1985), 247-270. MR 87f:52002
47. ERDOS P., Some unsolved problems, Magyar Tud. Akad. Mat. Kut. Int. Kozl. 6 (1961), 221-254. Partially reprinted in: Paul Erdos: The. Art of Counting. Selected Writings (J. Spencer, ed.), pp. 15-22, MIT Press, Cambridge, MA, 1973. MR 31:2106; MR 58:27144
48. ERDOS P., Some unsolved problems, Magyar Tud. Akad. Mat. Kut. Int. Kozl. 6 (1961), 221-254. Partially reprinted in: Paul Erdos: The. Art of Counting. Selected Writings (J. Spencer, ed.), pp. 15-22, MIT Press, Cambridge, MA, 1973. MR 31:2106; MR 58:27144
49. ERDOS P., Some unsolved problems, Magyar Tud. Akad. Mat. Kut. Int. Kozl. 6 (1961), 221-254. Partially reprinted in: Paul Erdos: The. Art of Counting. Selected Writings (J. Spencer, ed.), pp. 15-22, MIT Press, Cambridge, MA, 1973. MR 31:2106; MR 58:27144
50. ERDOS P., Some unsolved problems, Magyar Tud. Akad. Mat. Kut. Int. Kozl. 6 (1961), 221-254. Partially reprinted in: Paul Erdos: The. Art of Counting. Selected Writings (J. Spencer, ed.), pp. 15-22, MIT Press, Cambridge, MA, 1973. MR 31:2106; MR 58:27144
51. ERDOS P., On some problems of elementary and combinatorial geometry, Ann. Mat. Pura Appl. 103 (1975), 99-18. MR 54:113
52. ERDOS P., On some problems of elementary and combinatorial geometry, Ann. Mat. Pura Appl. 103 (1975), 99-18. MR 54:113
53. ERDOS P., Some more problems on elementary geometry, Austral. Math. Soc. Gaz. 5 (1978), 52-54. MR 80b:52005
54. ERDOS P., Some more problems on elementary geometry, Austral. Math. Soc. Gaz. 5 (1978), 52-54. MR 80b:52005
55. ERDOS P., Combinatorial problems in geometry and number theory, Relations Between Combinatorics and Other Parts of Mathematics. Proc. Conf. Ohio State Univ. Columbus, 1978. Proc. Symp. Pure Math. Vol. 34, 1979, pp. 149-162. MR 80i:05001
56. ERDOS P., Combinatorial problems in geometry and number theory, Relations Between Combinatorics and Other Parts of Mathematics. Proc. Conf. Ohio State Univ. Columbus, 1978. Proc. Symp. Pure Math. Vol. 34, 1979, pp. 149-162. MR 80i:05001
57. ERDOS P., Combinatorial problems in geometry and number theory, Relations Between Combinatorics and Other Parts of Mathematics. Proc. Conf. Ohio State Univ. Columbus, 1978. Proc. Symp. Pure Math. Vol. 34, 1979, pp. 149-162. MR 80i:05001
58. ERDOS P., Some combinatorial problems in geometry, Geometry and Differential Geometry. Proc. Conf. Univ. Haifa, 1979. Lecture Notes Math. 792 (1980), 46-53. MR 82d:51002
59. ERDOS P., Some combinatorial problems in geometry, Geometry and Differential Geometry. Proc. Conf. Univ. Haifa, 1979. Lecture Notes Math. 792 (1980), 46-53. MR 82d:51002
60. ERDOS P., Some combinatorial problems in geometry, Geometry and Differential Geometry. Proc. Conf. Univ. Haifa, 1979. Lecture Notes Math. 792 (1980), 46-53. MR 82d:51002
61. ERDOS P., Some of my favorite problems and results, The Mathematics of Paul Erdos, Vol. I (R. L. Graham and J. Nesetril, eds.), Springer-Verlag, Berlin, 1997, 47-67. MR 98e:11002
62. ERDOS P., Some of my favorite problems and results, The Mathematics of Paul Erdos, Vol. I (R. L. Graham and J. Nesetril, eds.), Springer-Verlag, Berlin, 1997, 47-67. MR 98e:11002
63. ERDOS P., PURDY G., Extremal problems in combinatorial geometry, pp. 809-874. Handbook of Combinatorics (R. L. Graham, M. Grötschel, and L. Lovász, eds.), Elsevier Science, Amsterdam, 1995. MR 96m:52025
64. ERDOS P., PURDY G., Extremal problems in combinatorial geometry, pp. 809-874. Handbook of Combinatorics (R. L. Graham, M. Grötschel, and L. Lovász, eds.), Elsevier Science, Amsterdam, 1995. MR 96m:52025
65. ERDOS P., SZEKERES G., A combinatorial problem in geometry, Compositio Math. 2 (1935), 463-470. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 3-12, MIT Press, Cambridge, MA, 1973. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 49-56, Birkhäuser, Basel, 1987. MR 58:27144; MR 88c:01055
66. ERDOS P., SZEKERES G., A combinatorial problem in geometry, Compositio Math. 2 (1935), 463-470. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 3-12, MIT Press, Cambridge, MA, 1973. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 49-56, Birkhäuser, Basel, 1987. MR 58:27144; MR 88c:01055
67. ERDOS P., SZEKERES G., A combinatorial problem in geometry, Compositio Math. 2 (1935), 463-470. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 3-12, MIT Press, Cambridge, MA, 1973. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 49-56, Birkhäuser, Basel, 1987. MR 58:27144; MR 88c:01055
68. ERDOS P., SZEKERES G., A combinatorial problem in geometry, Compositio Math. 2 (1935), 463-470. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 3-12, MIT Press, Cambridge, MA, 1973. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 49-56, Birkhäuser, Basel, 1987. MR 58:27144; MR 88c:01055
69. ERDOS P., SZEKERES G., A combinatorial problem in geometry, Compositio Math. 2 (1935), 463-470. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 3-12, MIT Press, Cambridge, MA, 1973. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 49-56, Birkhäuser, Basel, 1987. MR 58:27144; MR 88c:01055
70. ERDOS P., SZEKERES G., On some extremum problems in elementary geometry, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 3-4 (1961), 53-62. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 680-689, MIT Press, Cambridge, MA, 1973. MR 24:A3560; MR 58:27144
71. ERDOS P., SZEKERES G., On some extremum problems in elementary geometry, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 3-4 (1961), 53-62. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 680-689, MIT Press, Cambridge, MA, 1973. MR 24:A3560; MR 58:27144
72. ERDOS P., SZEKERES G., On some extremum problems in elementary geometry, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 3-4 (1961), 53-62. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 680-689, MIT Press, Cambridge, MA, 1973. MR 24:A3560; MR 58:27144
73. ERDOS P., SZEKERES G., On some extremum problems in elementary geometry, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 3-4 (1961), 53-62. Reprinted in: Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), pp. 680-689, MIT Press, Cambridge, MA, 1973. MR 24:A3560; MR 58:27144
74. ERDOS P., TUZA Z., VALTR P., Ramsey remainder, European J. Combin. 17 (1996), 519-532. MR 98d:05146
75. ERDOS P., TUZA Z., VALTR P., Ramsey remainder, European J. Combin. 17 (1996), 519-532. MR 98d:05146
76. FEJES TÓTH G., Recent progress on packing and covering, Advances in Discrete and Computational Geometry, (South Hadley, MA, 1996), pp. 145-162. Contemp. Math. 223 (1999), AMS, Providence, RI, 1999. MR 99g:52036
77. FEJES TÓTH G., Recent progress on packing and covering, Advances in Discrete and Computational Geometry, (South Hadley, MA, 1996), pp. 145-162. Contemp. Math. 223 (1999), AMS, Providence, RI, 1999. MR 99g:52036
78. FEJES TÓTH G., Recent progress on packing and covering, Advances in Discrete and Computational Geometry, (South Hadley, MA, 1996), pp. 145-162. Contemp. Math. 223 (1999), AMS, Providence, RI, 1999. MR 99g:52036
79. GOODMAN J.E., POLLACK R., A combinatorial perspective on some problems in geometry, Congr. Numer. 32 (1981), 383-394. MR 84b:05003
80. GOODMAN J.E., POLLACK R., A combinatorial perspective on some problems in geometry, Congr. Numer. 32 (1981), 383-394. MR 84b:05003
81. GOODMAN J.E., POLLACK R., A theorem of ordered duality, Geom. Dedicata 12 (1982), 63-74. MR 83f:51009
82. GOODMAN J.E., POLLACK R., A theorem of ordered duality, Geom. Dedicata 12 (1982), 63-74. MR 83f:51009
83. GRAHAM R.L., NEŠETŘIL J., Ramsey theory in the work of Paul Erdos, The Mathematics of Paul Erdos, Vol. II, (R. L. Graham and J. Nešetřil, eds.), Springer-Verlag, Berlin, 1997, 193-209. MR 97j:01031
84. GRAHAM R.L., NEŠETŘIL J., Ramsey theory in the work of Paul Erdos, The Mathematics of Paul Erdos, Vol. II, (R. L. Graham and J. Nešetřil, eds.), Springer-Verlag, Berlin, 1997, 193-209. MR 97j:01031
85. GRAHAM R.L., ROTHSCHILD B.L., SPENCER J.H., Ramsey Theory, 2nd edition, Wiley-Interscience, New York, 1990. MR 90m:05003
86. GRAHAM R.L., ROTHSCHILD B.L., SPENCER J.H., Ramsey Theory, 2nd edition, Wiley-Interscience, New York, 1990. MR 90m:05003
87. GRÜNBAUM B., Convex Polytopes, Interscience Publishers, New York, 1967. MR 37:2085
88. GRÜNBAUM B., Convex Polytopes, Interscience Publishers, New York, 1967. MR 37:2085
89. HADWIGER H., DEBRUNNER H., Ausgewählte Einzelprobleme der kombinatorischen Geometrie in der Ebene, Enseign. Math, 1 (1955), 56-89. MR 17:887c
90. HADWIGER H., DEBRUNNER H., Ausgewählte Einzelprobleme der kombinatorischen Geometrie in der Ebene, Enseign. Math, 1 (1955), 56-89. MR 17:887c
91. HADWIGER H., DEBRUNNER M., Kombinatorische Geometrie in der Ebene, Inst. Math. Univ., Genève, 1960. (English translation: Hadwiger H., Debrunner M., and Klee V., Combinatorial Geometry in the Plane, Holt, Rinehart and Winston, New York, 1964.) MR 22:11310; MR 29:1577
92. HADWIGER H., DEBRUNNER M., Kombinatorische Geometrie in der Ebene, Inst. Math. Univ., Genève, 1960. (English translation: Hadwiger H., Debrunner M., and Klee V., Combinatorial Geometry in the Plane, Holt, Rinehart and Winston, New York, 1964.) MR 22:11310; MR 29:1577
93. HADWIGER H., DEBRUNNER M., Kombinatorische Geometrie in der Ebene, Inst. Math. Univ., Genève, 1960. (English translation: Hadwiger H., Debrunner M., and Klee V., Combinatorial Geometry in the Plane, Holt, Rinehart and Winston, New York, 1964.) MR 22:11310; MR 29:1577
94. HADWIGER H., DEBRUNNER M., Kombinatorische Geometrie in der Ebene, Inst. Math. Univ., Genève, 1960. (English translation: Hadwiger H., Debrunner M., and Klee V., Combinatorial Geometry in the Plane, Holt, Rinehart and Winston, New York, 1964.) MR 22:11310; MR 29:1577
95. HARBORTH H., Konvexe Fünfecke in ebenen Punktmengen, Elem. Math. 33 (1978), 116-118. MR 80a: 52003
96. HARBORTH H., Konvexe Fünfecke in ebenen Punktmengen, Elem. Math. 33 (1978), 116-118. MR 80a: 52003
97. HARBORTH H., MÖLLER M., The Esther Klein problem in the projective plane, J. Combin. Math. Combin. Comput. 15 (1994), 171-179. MR 95d:52013
98. HARBORTH H., MÖLLER M., The Esther Klein problem in the projective plane, J. Combin. Math. Combin. Comput. 15 (1994), 171-179. MR 95d:52013
99. HOFFMAN P., The Man Who Loved Only Numbers, Hyperion, New York, 1998. CMP 99:07
100. HOFFMAN P., The Man Who Loved Only Numbers, Hyperion, New York, 1998. CMP 99:07
101. HORTON J.D., Sets with no empty convex 7-gons, Canad. Math. Bull. 26 (1983), 482-484. MR 85f:52007
102. HORTON J.D., Sets with no empty convex 7-gons, Canad. Math. Bull. 26 (1983), 482-484. MR 85f:52007
103. HOSONO K., URABE M., On the number of disjoint convex quadrilaterals for a given point set in the plane, Comput. Geom. Theory and Applications, submitted.
104. JAMISON-WALDNER R.E., Partition numbers for trees and ordered sets, Pacific J. Math. 96 (1981), 115-140. MR 83a:52003
105. JAMISON-WALDNER R.E., Partition numbers for trees and ordered sets, Pacific J. Math. 96 (1981), 115-140. MR 83a:52003
106. JOHNSON S., A new proof of the Erdos-Szekeres convex k-gon result, J. Combin. Theory Ser. A 42 (1986), 318-319. MR 87j:52004
107. JOHNSON S., A new proof of the Erdos-Szekeres convex k-gon result, J. Combin. Theory Ser. A 42 (1986), 318-319. MR 87j:52004
108. KALBFLEISCH J.D., KALBFLEISCH J.G., STANTON R.G., A combinatorial problem on convex regions, Proc. Louisiana Conf. Combinatorics, Graph Theory and Computing, Louisiana State Univ., Baton Rouge, La, 1970. Congr. Numer. 1 (1970), 180-188. MR 42:8394
109. KALBFLEISCH J.D., KALBFLEISCH J.G., STANTON R.G., A combinatorial problem on convex regions, Proc. Louisiana Conf. Combinatorics, Graph Theory and Computing, Louisiana State Univ., Baton Rouge, La, 1970. Congr. Numer. 1 (1970), 180-188. MR 42:8394
110. KALBFLEISCH J.D., KALBFLEISCH J.G., STANTON R.G., A combinatorial problem on convex regions, Proc. Louisiana Conf. Combinatorics, Graph Theory and Computing, Louisiana State Univ., Baton Rouge, La, 1970. Congr. Numer. 1 (1970), 180-188. MR 42:8394
111. KALBFLEISCH J.G., STANTON R.G., On the maximum number of coplanar points containing no convex n-gons, Utilitas Math. 47 (1995), 235-245. MR 96b:52016
112. KALBFLEISCH J.G., STANTON R.G., On the maximum number of coplanar points containing no convex n-gons, Utilitas Math. 47 (1995), 235-245. MR 96b:52016
113. KAROLYI G., Ramsey-remainder for convex sets and the Erdos-Szekeres Theorem, Discr. Appl. Math., to appear.
114. ḰAROLYI G., PACH J., TÓTH G., A modular version of the Erdos-Szekeres Theorem, in preparation.
115. d without large convex subsets, in preparation.
116. KATCHALSKI M., MEIR A., On empty triangles determined by points in the plane, Acta. Math. Hungar. 51 (1988), 323-328. MR 89f:52021
117. KATCHALSKI M., MEIR A., On empty triangles determined by points in the plane, Acta. Math. Hungar. 51 (1988), 323-328. MR 89f:52021
118. KLEE V., WAGON S., Old and New Unsolved Problems in Plane Geometry and Number Theory, Mathematical Association of America, Dolciani Mathematical Expositions-No. 11, 1991. MR 92k:00014
119. KLEE V., WAGON S., Old and New Unsolved Problems in Plane Geometry and Number Theory, Mathematical Association of America, Dolciani Mathematical Expositions-No. 11, 1991. MR 92k:00014
120. KLEITMAN D., PACHTER L., Finding convex sets among points in the plane, Discrete Comput. Geom. 19 (1998), 405-410. MR 99e:52021
121. KLEITMAN D., PACHTER L., Finding convex sets among points in the plane, Discrete Comput. Geom. 19 (1998), 405-410. MR 99e:52021
122. KORTE B., LOVÄSZ L., Shelling structures, convexity and a happy end, pp. 219-232. Graph Theory and Combinatorics (B. Bollobás, ed.), Academic Press, London, 1984. MR 86e:90091
123. KORTE B., LOVÄSZ L., Shelling structures, convexity and a happy end, pp. 219-232. Graph Theory and Combinatorics (B. Bollobás, ed.), Academic Press, London, 1984. MR 86e:90091
124. KORTE B., LOVÁSZ L., SCHRADER R., Greedoids, Springer-Verlag, Berlin, 1991. MR 93f:90003
125. KORTE B., LOVÁSZ L., SCHRADER R., Greedoids, Springer-Verlag, Berlin, 1991. MR 93f:90003
126. LEWIN M., A new proof of a theorem of Erdos and Szekeres, Math. Gaz. 60 (1976), 136-138. MR 58:10486
127. LEWIN M., A new proof of a theorem of Erdos and Szekeres, Math. Gaz. 60 (1976), 136-138. MR 58:10486
128. LOVÁSZ L., Combinatorial Problems and Exercises, North-Holland, Amsterdam, 1979. MR 80m:05001
129. LOVÁSZ L., Combinatorial Problems and Exercises, North-Holland, Amsterdam, 1979. MR 80m:05001
130. MORRIS W.D., Convex dimension of locally planar convex geometries, Discrete Comput. Geom., to appear.
131. MOTZKIN T.S., Cooperative classes of finite sets in one and more dimensions, J. Combin. Theory 3 (1967), 244-251. MR 35:5328
132. MOTZKIN T.S., Cooperative classes of finite sets in one and more dimensions, J. Combin. Theory 3 (1967), 244-251. MR 35:5328
133. MOTZKIN T.S., O'NEIL P.E., Bounds assuring subsets in convex position, J. Combin. Theory 3 (1967), 252-255. MR 35:5329
134. MOTZKIN T.S., O'NEIL P.E., Bounds assuring subsets in convex position, J. Combin. Theory 3 (1967), 252-255. MR 35:5329
135. NEŠETŘIL J., VALTR P., A Ramsey-type theorem in the plane, Combin. Probab. Comput. 3 (1994), 127-135. Also in: Combinatorics, Geometry and Probability, pp. 525-533 (Cambridge, 1993), Cambridge University Press, Cambridge, 1997. MR 95e:05119
136. NEŠETŘIL J., VALTR P., A Ramsey-type theorem in the plane, Combin. Probab. Comput. 3 (1994), 127-135. Also in: Combinatorics, Geometry and Probability, pp. 525-533 (Cambridge, 1993), Cambridge University Press, Cambridge, 1997. MR 95e:05119
137. NEŠETŘIL J., VALTR P., A Ramsey-type theorem in the plane, Combin. Probab. Comput. 3 (1994), 127-135. Also in: Combinatorics, Geometry and Probability, pp. 525-533 (Cambridge, 1993), Cambridge University Press, Cambridge, 1997. MR 95e:05119
138. NIELSEN M. J., Transverse matchings on a finite planar set (Manuscript), University of Idaho, Moscow, 1995.
139. OVERMARS M., SCHOLTEN B., VINCENT I., Sets without empty convex 6-gons, Bull. European Assoc. Theor. Comput. Sci. No. 37 (1989), 160-168.
140. PACK J., SOLYMOSI J., Canonical theorems for convex sets, Discrete Comput. Geom. 19 (1998), 427-435. MR 99a:52025
141. PACK J., SOLYMOSI J., Canonical theorems for convex sets, Discrete Comput. Geom. 19 (1998), 427-435. MR 99a:52025
142. PACH J., TÓTH G., A generalization of the Erdos-Szekeres theorem for disjoint convex sets, Discrete Comput. Geom. 19 (1998), 437-445. MR 99b:52038
143. PACH J., TÓTH G., A generalization of the Erdos-Szekeres theorem for disjoint convex sets, Discrete Comput. Geom. 19 (1998), 437-445. MR 99b:52038
144. PACK J., TÓTH G., Erdos-Szekeres type theorems for segments and non-crossing convex sets, Geometriae Dedicata, to appear.
145. PURDY G.B., The minimum number of empty triangles, AMS Abstracts 3 (1982), 318.
146. RAMSEY F.P., On a problem of formal logic, Proc. London Math. Soc. 30 (1930), 264-286. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 2-24. Birkhäuser, Basel, 1987. MR 88c:01055
147. RAMSEY F.P., On a problem of formal logic, Proc. London Math. Soc. 30 (1930), 264-286. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 2-24. Birkhäuser, Basel, 1987. MR 88c:01055
148. RAMSEY F.P., On a problem of formal logic, Proc. London Math. Soc. 30 (1930), 264-286. Reprinted in: Classic Papers in Combinatorics (I. Gessel and G.-C. Rota, eds.), pp. 2-24. Birkhäuser, Basel, 1987. MR 88c:01055
149. SCHECHTER B., My Brain Is Open, Simon & Schuster, New York, 1998. MR 99h:01038
150. SCHECHTER B., My Brain Is Open, Simon & Schuster, New York, 1998. MR 99h:01038
151. SCHMITT P., Problems in discrete and combinatorial geometry, pp. 449-483. Handbook of Convex Geometry, (P.M. Gruber and J.M. Wills, eds.), Elsevier Sci. Publ., 1993. MR 94h:52002
152. SCHMITT P., Problems in discrete and combinatorial geometry, pp. 449-483. Handbook of Convex Geometry, (P.M. Gruber and J.M. Wills, eds.), Elsevier Sci. Publ., 1993. MR 94h:52002
153. SOLTAN V., Introduction to the Axiomatic Theory of Convexity, (Russian) Şaţiina, Chişinau, 1984. MR 87h:52004
154. SOLTAN V., Introduction to the Axiomatic Theory of Convexity, (Russian) Şaţiina, Chişinau, 1984. MR 87h:52004
155. SOLYMOSI J., Combinatorial Problems in Finite Ramsey Theory, Master's Thesis, Eötvös University, Budapest, 1988.
156. STEINITZ E., Bedingt konvergente Reihen und konvexe Systeme, J. Reine Angew. Math. 143 (1913), 128-175; 144 (1914), 1-40; 146 (1916), 1-52.
157. STEINITZ E., Bedingt konvergente Reihen und konvexe Systeme, J. Reine Angew. Math. 143 (1913), 128-175; 144 (1914), 1-40; 146 (1916), 1-52.
158. STEINITZ E., Bedingt konvergente Reihen und konvexe Systeme, J. Reine Angew. Math. 143 (1913), 128-175; 144 (1914), 1-40; 146 (1916), 1-52.
159. SZEKERES G., A combinatorial problem in geometry, Reminiscences, pp. xix-xxii. Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), MIT Press, Camgridge, MA, 1973. MR 58:27144
160. SZEKERES G., A combinatorial problem in geometry, Reminiscences, pp. xix-xxii. Paul Erdos: The Art of Counting. Selected Writings (J. Spencer, ed.), MIT Press, Camgridge, MA, 1973. MR 58:27144
161. TÓTH G., Finding convex sets in convex position, Combinatorica, to appear.
162. TÓTH G., VALTR P., Note on the Erdos-Szekeres theorem, Discrete Comput. Geom. 19 (1998), 457-459. MR 99e:52022
163. TÓTH G., VALTR P., Note on the Erdos-Szekeres theorem, Discrete Comput. Geom. 19 (1998), 457-459. MR 99e:52022
164. URABE M., On a partition into convex polygons, Discrete Appl. Math. 64 (1996), 179-191. MR 96m:52027
165. URABE M., On a partition into convex polygons, Discrete Appl. Math. 64 (1996), 179-191. MR 96m:52027
166. VALTR P., Convex independent sets and 7-holes in restricted planar point sets, Discrete Comput. Geom. 7 (1992), 135-152. MR 93e:52037
167. VALTR P., Convex independent sets and 7-holes in restricted planar point sets, Discrete Comput. Geom. 7 (1992), 135-152. MR 93e:52037
168. d with no large empty convex subsets, Discrete Math. 108 (1992), 115-124. MR 93i:52007
169. d with no large empty convex subsets, Discrete Math. 108 (1992), 115-124. MR 93i:52007
170. VALTR P., On the minimum number of empty polygons in planar point sets, Studia Sci. Math. Hungar. 30 (1995), 155-163. MR 96e:52019
171. VALTR P., On the minimum number of empty polygons in planar point sets, Studia Sci. Math. Hungar. 30 (1995), 155-163. MR 96e:52019
172. VALTR P., Several Results Related to the Erdos-Szekeres Theorem, Doctoral Dissertation, Charles University, Prague, 1996.
173. VALTR P., On mutually avoiding sets, The Mathematics of Paul Erdos, Vol. II, (R. L. Graham and J. Nešetřil, eds.), Springer-Verlag, Berlin, 1997, 324-328. MR 98d:52025
174. VALTR P., On mutually avoiding sets, The Mathematics of Paul Erdos, Vol. II, (R. L. Graham and J. Nešetřil, eds.), Springer-Verlag, Berlin, 1997, 324-328. MR 98d:52025
175. VAN DE VEL M.L.J., Theory of Convex Structures, North-Holland, Amsterdam, 1993. MR 95a:52002
176. VAN DE VEL M.L.J., Theory of Convex Structures, North-Holland, Amsterdam, 1993. MR 95a:52002
177. WATSON F.R., XIth International Mathematical Olympiad. Bucharest, July 1969, Math. Gaz. 53 (1969), 395-396.
178. WATSON F.R., A problem on convex quadrilaterals, Math. Spectrum 2 (1969/70), 54-57.