Topological Cliques in Graphs

Author:

komlós János,Szemerédi Endre

Abstract

Let f(t) be the largest integer such that every graph with average degree t has a topological clique with f(i) vertices. It is widely believed that . Here we prove the weaker estimate .

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science

Reference11 articles.

1. [6] Komlós J. and Sós V. (manuscript) Regular subgraphs of graphs.

2. Topological cliques of random graphs

3. On complete topological subgraphs of certain graphs;Erdős;Annales Univ. Sci. Budapest,1969

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