메뉴 건너뛰기




Volumn 8, Issue 1-2, 1999, Pages 7-29

Combinatorial Nullstellensatz

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0442327335     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548398003411     Document Type: Article
Times cited : (681)

References (62)
  • 3
    • 0003359872 scopus 로고
    • Tools from higher algebra
    • R. Graham, M. Grötschel and L. Lovász, eds, Elsevier
    • Alon, N. (1995) Tools from higher algebra. In Handbook of Combinatorics (R. Graham, M. Grötschel and L. Lovász, eds), Elsevier, pp. 1749-1783.
    • (1995) Handbook of Combinatorics , pp. 1749-1783
    • Alon, N.1
  • 4
    • 84987589711 scopus 로고
    • On three zero-sum Ramsey-type problems
    • Alon, N. and Caro, Y. (1993) On three zero-sum Ramsey-type problems. J. Graph Theory 17 177-192.
    • (1993) J. Graph Theory , vol.17 , pp. 177-192
    • Alon, N.1    Caro, Y.2
  • 6
    • 0001999289 scopus 로고
    • Regular subgraphs of almost regular graphs
    • Alon, N., Friedland, S. and Kalai, G. (1984) Regular subgraphs of almost regular graphs. J. Combinatorial Theory Ser. B 37 79-91. Also: Alon, N., Friedland, S. and Kalai, G. (1984) Every 4-regular graph plus an edge contains a 3-regular subgraph. J. Combinatorial Theory Ser. B 37 92-93.
    • (1984) J. Combinatorial Theory Ser. B , vol.37 , pp. 79-91
    • Alon, N.1    Friedland, S.2    Kalai, G.3
  • 7
    • 0010675463 scopus 로고
    • Every 4-regular graph plus an edge contains a 3-regular subgraph
    • Alon, N., Friedland, S. and Kalai, G. (1984) Regular subgraphs of almost regular graphs. J. Combinatorial Theory Ser. B 37 79-91. Also: Alon, N., Friedland, S. and Kalai, G. (1984) Every 4-regular graph plus an edge contains a 3-regular subgraph. J. Combinatorial Theory Ser. B 37 92-93.
    • (1984) J. Combinatorial Theory Ser. B , vol.37 , pp. 92-93
    • Alon, N.1    Friedland, S.2    Kalai, G.3
  • 8
    • 38249006949 scopus 로고
    • Covering the cube by affine hyperplanes
    • Alon, N. and Füredi, Z. (1993) Covering the cube by affine hyperplanes. European J. Combinatorics 14 79-83.
    • (1993) European J. Combinatorics , vol.14 , pp. 79-83
    • Alon, N.1    Füredi, Z.2
  • 10
    • 0000598376 scopus 로고
    • Additive bases of vector spaces over prime fields
    • Alon, N., Linial, N. and Meshulam, R. (1991) Additive bases of vector spaces over prime fields. J. Combin. Theory Ser. A 57 203-210.
    • (1991) J. Combin. Theory Ser. A , vol.57 , pp. 203-210
    • Alon, N.1    Linial, N.2    Meshulam, R.3
  • 11
    • 21844492798 scopus 로고
    • Adding distinct congruence classes modulo a prime
    • Alon, N., Nathanson, M. B. and Ruzsa, I. Z. (1995) Adding distinct congruence classes modulo a prime. Amer. Math. Monthly 102 250-255.
    • (1995) Amer. Math. Monthly , vol.102 , pp. 250-255
    • Alon, N.1    Nathanson, M.B.2    Ruzsa, I.Z.3
  • 12
    • 0030079231 scopus 로고    scopus 로고
    • The polynomial method and restricted sums of congruence classes
    • Alon, N., Nathanson, M. B. and Ruzsa, I. Z. (1996) The polynomial method and restricted sums of congruence classes. J. Number Theory 56 404-417.
    • (1996) J. Number Theory , vol.56 , pp. 404-417
    • Alon, N.1    Nathanson, M.B.2    Ruzsa, I.Z.3
  • 13
    • 0008981037 scopus 로고
    • A nowhere-zero point in linear mappings
    • Alon, N. and Tarsi, M. (1989) A nowhere-zero point in linear mappings. Combinatorica 9 393-395.
    • (1989) Combinatorica , vol.9 , pp. 393-395
    • Alon, N.1    Tarsi, M.2
  • 14
    • 0000576339 scopus 로고
    • Colorings and orientations of graphs
    • Alon, N. and Tarsi, M. (1992) Colorings and orientations of graphs. Combinatorica 12 125-134.
    • (1992) Combinatorica , vol.12 , pp. 125-134
    • Alon, N.1    Tarsi, M.2
  • 15
    • 0039527934 scopus 로고    scopus 로고
    • A note on graph colorings and graph polynomials
    • Alon, N. and Tarsi, M. (1997) A note on graph colorings and graph polynomials. J. Combin. Theory Ser. B 70 197-201.
    • (1997) J. Combin. Theory Ser. B , vol.70 , pp. 197-201
    • Alon, N.1    Tarsi, M.2
  • 21
    • 0037476529 scopus 로고
    • Labelings of graphs
    • Academic Press
    • Chung, F. R. K. (1988) Labelings of graphs. In Selected Topics in Graph Theory, Vol. 3, Academic Press, pp. 151-168.
    • (1988) Selected Topics in Graph Theory , vol.3 , pp. 151-168
    • Chung, F.R.K.1
  • 22
    • 84963033937 scopus 로고
    • On the addition of residue classes
    • Davenport, H. (1935) On the addition of residue classes. J. London Math. Soc. 10 30-32.
    • (1935) J. London Math. Soc. , vol.10 , pp. 30-32
    • Davenport, H.1
  • 23
    • 84960563343 scopus 로고
    • Cyclic spaces for Grassmann derivatives and additive theory
    • Dias da Silva, J. A. and Hamidoune, Y. O. (1994) Cyclic spaces for Grassmann derivatives and additive theory. Bull. London Math. Soc. 26 140-146.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 140-146
    • Dias Da Silva, J.A.1    Hamidoune, Y.O.2
  • 25
    • 0010977393 scopus 로고    scopus 로고
    • Sumsets in vector spaces over finite fields
    • Eliahou, S. and Kervaire, M. (1998) Sumsets in vector spaces over finite fields. J. Number Theory 71 12-39.
    • (1998) J. Number Theory , vol.71 , pp. 12-39
    • Eliahou, S.1    Kervaire, M.2
  • 26
    • 0041350909 scopus 로고    scopus 로고
    • List edge colorings of some 1-factorable multigraphs
    • Ellingham, M. N. and Goddyn, L. (1996) List edge colorings of some 1-factorable multigraphs. Combinatorica 16 343-352.
    • (1996) Combinatorica , vol.16 , pp. 343-352
    • Ellingham, M.N.1    Goddyn, L.2
  • 30
    • 0010931014 scopus 로고
    • A solution to a coloring problem of P. Erdos
    • Fleischner, H. and Stiebitz, M. (1992) A solution to a coloring problem of P. Erdos. Discrete Math. 101 39-48.
    • (1992) Discrete Math. , vol.101 , pp. 39-48
    • Fleischner, H.1    Stiebitz, M.2
  • 31
    • 0442272197 scopus 로고
    • The proof of Paul Erdos' conjecture of the addition of different residue classes modulo a prime number
    • CIRM Marseille
    • Freiman, G. A., Low, L. and Pitman, J. (1993) The proof of Paul Erdos' conjecture of the addition of different residue classes modulo a prime number. In Structure Theory of Set Addition, CIRM Marseille, pp. 99-108.
    • (1993) Structure Theory of Set Addition , pp. 99-108
    • Freiman, G.A.1    Low, L.2    Pitman, J.3
  • 32
    • 0001223187 scopus 로고
    • The list chromatic index of a bipartite multigraph
    • Galvin, F. (1995) The list chromatic index of a bipartite multigraph. J. Combin. Theory Ser. B 63 153-158.
    • (1995) J. Combin. Theory Ser. B , vol.63 , pp. 153-158
    • Galvin, F.1
  • 34
    • 0042236719 scopus 로고
    • Tools from linear algebra
    • R. Graham, M. Grötschel and L. Lovász, eds, Elsevier
    • Godsil, C. (1995) Tools from linear algebra. In Handbook of Combinatorics (R. Graham, M. Grötschel and L. Lovász, eds), Elsevier, pp. 1705-1748.
    • (1995) Handbook of Combinatorics , pp. 1705-1748
    • Godsil, C.1
  • 35
    • 0041097933 scopus 로고    scopus 로고
    • New bounds on the list chromatic index of the complete graph and other simple graphs
    • Häggkvist, R. and Janssen, J. (1997) New bounds on the list chromatic index of the complete graph and other simple graphs. Combin. Probab. Comput. 6 295-313.
    • (1997) Combin. Probab. Comput. , vol.6 , pp. 295-313
    • Häggkvist, R.1    Janssen, J.2
  • 36
    • 0000839339 scopus 로고
    • Ein Extremalproblem für Gitterpunkte
    • Harborth, H. (1973) Ein Extremalproblem für Gitterpunkte. J. Reine Angew. Math. 262/263 356-360.
    • (1973) J. Reine Angew. Math. , vol.262-263 , pp. 356-360
    • Harborth, H.1
  • 37
    • 38249021372 scopus 로고
    • On the Penrose number of cubic diagrams
    • Jaeger, F. (1989) On the Penrose number of cubic diagrams. Discrete Math. 74 85-97.
    • (1989) Discrete Math. , vol.74 , pp. 85-97
    • Jaeger, F.1
  • 38
    • 0000819144 scopus 로고
    • Group connectivity of graphs- A nonhomogeneous analogue of nowhere-zero flow
    • Jaeger, F., Linial, N., Payan, C. and Tarsi, M. (1992) Group connectivity of graphs-a nonhomogeneous analogue of nowhere-zero flow. J. Combin. Theory Ser. B 56 165-182.
    • (1992) J. Combin. Theory Ser. B , vol.56 , pp. 165-182
    • Jaeger, F.1    Linial, N.2    Payan, C.3    Tarsi, M.4
  • 40
    • 0029689717 scopus 로고    scopus 로고
    • Asymptotically good list colorings
    • Kahn, J. (1996) Asymptotically good list colorings. J. Combin. Theory Ser. A 73 1-59.
    • (1996) J. Combin. Theory Ser. A , vol.73 , pp. 1-59
    • Kahn, J.1
  • 41
    • 0000864523 scopus 로고
    • On a lattice point problem
    • Kemnitz, A. (1983) On a lattice point problem. Ars Combinatoria 16b 151-160.
    • (1983) Ars Combinatoria , vol.16 B , pp. 151-160
    • Kemnitz, A.1
  • 42
    • 51249180619 scopus 로고
    • Independence numbers of graphs and generators of ideals
    • Li, S. Y. R. and Li, W. C. W. (1981) Independence numbers of graphs and generators of ideals. Combinatorica 1 55-61.
    • (1981) Combinatorica , vol.1 , pp. 55-61
    • Li, S.Y.R.1    Li, W.C.W.2
  • 43
    • 77956802188 scopus 로고
    • Bounding the independence number of a graph
    • Bonn Workshop on Combinatorial Optimization A. Bachem, M. Grötschel and B. Korte, eds, North Holland, Amsterdam
    • Lovász, L. (1982) Bounding the independence number of a graph. In Bonn Workshop on Combinatorial Optimization (A. Bachem, M. Grötschel and B. Korte, eds), Ann. Discrete Math. 16, North Holland, Amsterdam, pp. 213-223.
    • (1982) Ann. Discrete Math. , vol.16 , pp. 213-223
    • Lovász, L.1
  • 44
    • 38149146720 scopus 로고
    • Stable sets and polynomials
    • Lovász, L. (1994) Stable sets and polynomials. Discrete Math. 124 137-153.
    • (1994) Discrete Math. , vol.124 , pp. 137-153
    • Lovász, L.1
  • 45
    • 51249183740 scopus 로고
    • How many slopes in a polygon?
    • Mansfield, R. (1981) How many slopes in a polygon? Israel J. Math. 39 265-272.
    • (1981) Israel J. Math. , vol.39 , pp. 265-272
    • Mansfield, R.1
  • 48
    • 0001550949 scopus 로고
    • Die Theorie der regulären Graphs
    • Petersen, J. (1891) Die Theorie der regulären Graphs. Acta Math. 15 193-220.
    • (1891) Acta Math. , vol.15 , pp. 193-220
    • Petersen, J.1
  • 49
    • 51249176467 scopus 로고
    • Regular subgraphs of dense graphs
    • Pyber, L. (1985) Regular subgraphs of dense graphs. Combinatorica 5 347-349.
    • (1985) Combinatorica , vol.5 , pp. 347-349
    • Pyber, L.1
  • 52
    • 0040957482 scopus 로고
    • Sums of distinct residues mod p
    • Rödseth, Ö. J. (1994) Sums of distinct residues mod p. Acta Arith. 65 181-184.
    • (1994) Acta Arith. , vol.65 , pp. 181-184
    • Rödseth, Ö.J.1
  • 53
    • 0041835144 scopus 로고
    • The number of edge 3-colorings of a planar cubic graph as a permanent
    • Scheim, D. E. (1974) The number of edge 3-colorings of a planar cubic graph as a permanent. Discrete Math. 8 377-382.
    • (1974) Discrete Math. , vol.8 , pp. 377-382
    • Scheim, D.E.1
  • 55
    • 0042257944 scopus 로고
    • Regular subgraphs of regular graphs
    • Taśkinov, V. A. (1982) Regular subgraphs of regular graphs. Soviet Math. Dokl. 26 37-38.
    • (1982) Soviet Math. Dokl. , vol.26 , pp. 37-38
    • Taśkinov, V.A.1
  • 56
    • 0442319225 scopus 로고    scopus 로고
    • Private communication, July
    • Toft, B. Private communication, July 1998.
    • (1998)
    • Toft, B.1
  • 58
    • 0040812010 scopus 로고
    • Remarques sur les réseaux cubiques de classe 3 associés au probléme des quatre couleurs
    • Vigneron, L. (1946) Remarques sur les réseaux cubiques de classe 3 associés au probléme des quatre couleurs. C. R. Acad. Sc. Paris, 223 770-772.
    • (1946) C. R. Acad. Sc. Paris , vol.223 , pp. 770-772
    • Vigneron, L.1
  • 59
    • 0002935868 scopus 로고
    • On an estimate on the chromatic class of a p-graph
    • In Russian
    • Vizing, V. G. (1964) On an estimate on the chromatic class of a p-graph. Diskret. Analiz. 3 25-30. In Russian.
    • (1964) Diskret. Analiz. , vol.3 , pp. 25-30
    • Vizing, V.G.1
  • 62
    • 0010761404 scopus 로고
    • Orthogonal pairings of Euclidean spaces
    • Yuzvinsky, S. (1981) Orthogonal pairings of Euclidean spaces. Michigan Math. J. 28 109-119.
    • (1981) Michigan Math. J. , vol.28 , pp. 109-119
    • Yuzvinsky, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.