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Volumn 282, Issue 1-3, 2004, Pages 113-122

A new Turán-type theorem for cliques in graphs

Author keywords

Clique vectors; Tur n's theorem; Zykov's theorem

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; NUMBER THEORY; SET THEORY; THEOREM PROVING; VECTORS;

EID: 2342557185     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2003.11.007     Document Type: Article
Times cited : (17)

References (15)
  • 1
    • 0008740710 scopus 로고
    • On the connection between chromatic number, maximal clique and minimal degree of a graph
    • Andrásfai B., Erdos P., Sós V.T. On the connection between chromatic number, maximal clique and minimal degree of a graph. Discrete Math. 8:1974;205-218.
    • (1974) Discrete Math. , vol.8 , pp. 205-218
    • Andrásfai, B.1    Erdos, P.2    Sós, V.T.3
  • 2
    • 0000345952 scopus 로고    scopus 로고
    • Face numbers of polytopes and complexes
    • J.E. Goodman, J. O'Rourke (Eds.), CRC Press, Boca Raton, New York
    • L.J. Billera, A. Björner, Face numbers of polytopes and complexes, in: J.E. Goodman, J. O'Rourke (Eds.), Handbook of Discrete and Computational Geometry, 2nd Edition, CRC Press, Boca Raton, New York, 2003, pp. 291-315.
    • (2003) Handbook of Discrete and Computational Geometry, 2nd Edition , pp. 291-315
    • Billera, L.J.1    Björner, A.2
  • 3
    • 0004200084 scopus 로고
    • Academic Press, London, New York, San Francisco
    • B. Bollobás, Extremal Graph Theory, Academic Press, London, New York, San Francisco, 1978.
    • (1978) Extremal Graph Theory
    • Bollobás, B.1
  • 4
    • 84959695157 scopus 로고
    • On colouring the nodes of a network
    • Brooks R.L. On colouring the nodes of a network. Cambridge Philos. Soc. 37:1941;194-197.
    • (1941) Cambridge Philos. Soc. , vol.37 , pp. 194-197
    • Brooks, R.L.1
  • 6
    • 48249098727 scopus 로고    scopus 로고
    • Generalized binomial coefficients, colored simplicial complexes, and tight inequalities between elementary symmetric functions of integers
    • submitted for publication
    • J. Eckhoff, Generalized binomial coefficients, colored simplicial complexes, and tight inequalities between elementary symmetric functions of integers, Amer. Math. Monthly, submitted for publication.
    • Amer. Math. Monthly
    • Eckhoff, J.1
  • 7
    • 0001545537 scopus 로고
    • On the number of complete subgraphs contained in certain graphs
    • Erdo″s P. On the number of complete subgraphs contained in certain graphs. Publ. Math. Inst. Hungar. Acad. Sci. 7:1962;459-464.
    • (1962) Publ. Math. Inst. Hungar. Acad. Sci. , vol.7 , pp. 459-464
    • Erdos, P.1
  • 9
    • 2342623027 scopus 로고
    • Conjectures on the number of complete subgraphs
    • Fisher D.C., Ryan J. Conjectures on the number of complete subgraphs. Congr. Numer. 70:1990;217-219.
    • (1990) Congr. Numer. , vol.70 , pp. 217-219
    • Fisher, D.C.1    Ryan, J.2
  • 10
    • 2342571273 scopus 로고
    • A generalization of Turán's theorem on graphs
    • in Russian
    • Hadziivanov N.G. A generalization of Turán's theorem on graphs. C. R. Acad. Bulgare Sci. 29(11):1976;1567-1570. (in Russian).
    • (1976) C.R. Acad. Bulgare Sci. , vol.29 , Issue.11 , pp. 1567-1570
    • Hadziivanov, N.G.1
  • 11
    • 0012911173 scopus 로고
    • The maximum number of q-cliques in a graph with no p-clique
    • Roman S. The maximum number of. q -cliques in a graph with no p -clique Discrete Math. 14:1976;365-371.
    • (1976) Discrete Math. , vol.14 , pp. 365-371
    • Roman, S.1
  • 12
    • 2342567366 scopus 로고
    • A generalization of Turán's theorem
    • Sauer N. A generalization of Turán's theorem. J. Combin. Theory Ser. B. 10:1971;109-112.
    • (1971) J. Combin. Theory Ser. B , vol.10 , pp. 109-112
    • Sauer, N.1
  • 13
    • 0001263144 scopus 로고
    • Eine Extremalaufgabe aus der Graphentheorie
    • in Hungarian; German summary
    • Turán P. Eine Extremalaufgabe aus der Graphentheorie. Mat. Fiz. Lapok. 48:1941;436-452. (in Hungarian; German summary).
    • (1941) Mat. Fiz. Lapok , vol.48 , pp. 436-452
    • Turán, P.1
  • 14
    • 0004481872 scopus 로고
    • On some properties of linear complexes
    • in Russian
    • A.A. Zykov, On some properties of linear complexes, Mat. Sbornik (N. S.) 24 (66) (1949) 163-188 (in Russian). (English translation: Amer. Math. Soc. Transl. no. 79, 1952).
    • (1949) Mat. Sbornik (N.S.) , vol.24 , Issue.66 , pp. 163-188
    • Zykov, A.A.1
  • 15
    • 2342648464 scopus 로고
    • English translation
    • A.A. Zykov, On some properties of linear complexes, Mat. Sbornik (N. S.) 24 (66) (1949) 163-188 (in Russian). (English translation: Amer. Math. Soc. Transl. no. 79, 1952).
    • (1952) Amer. Math. Soc. Transl. No. 79 , vol.79


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.