On complete subgraphs of r-chromatic graphs

@article{Bollobs1975OnCS,
  title={On complete subgraphs of r-chromatic graphs},
  author={B{\'e}la Bollob{\'a}s and Paul Erd{\"o}s and Endre Szemer{\'e}di},
  journal={Discrete Mathematics},
  year={1975},
  volume={13},
  pages={97-107}
}
Let G,J n) be an r-chromatic graph with n vertices in each colour class . Suppose G = G 3 (n), and t (G) . the minimal degree in G, is at least n + t (t _> 1) . We prove that C contains at least t 3 triangles but does not have to contain more titan 4t 3 of them . Furthermore, we give lower bounds for s such that G contains a complete 3-partite graph with s vertices in each class . Let';.(ii) = max t6(G) : G = G i (n), G does not contain a complete graph with r vertices ; . We obtain various… CONTINUE READING

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On an extremal problem in graph theory, Mat

  • P. Turán
  • Fiz . Lapok
  • 1941

Erdös and M . Simonovits , On the structure of edge graphs 11 , J . London Math . Soc . , to appear . [ 51 P . Erdös , On some extremal problems in graph theory

  • P. Turán
  • Israel J . Math .

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