More results on Ramsey—Turán type problems

Combinatorica volume 3, pages69–81(1983)Cite this article

Abstract

The paper deals with common generalizations of classical results of Ramsey and Turán. The following is one of the main results. Assumek≧2, ε>0,G n is a sequence of graphs ofn-vertices and at least 1/2((3k−5) / (3k−2)+ε)n 2 edges, and the size of the largest independent set inG n iso(n). LetH be any graph of arboricity at mostk. Then there exists ann 0 such that allG n withn>n 0 contain a copy ofH. This result is best possible in caseH=K 2k .

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Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, H-1053, Budapest, Hungary

    P. Erdős, A. Hajnal, Vera T. Sós & E. Szemerédi

Authors
  1. P. Erdős
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  2. A. Hajnal
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  3. Vera T. Sós
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  4. E. Szemerédi
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Erdős, P., Hajnal, A., Sós, V.T. et al. More results on Ramsey—Turán type problems. Combinatorica 3, 69–81 (1983). https://doi.org/10.1007/BF02579342

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AMS subject classification (1980)

  • 05 C 55
  • 05 C 35