The Erdös-Hajnal Conjecture---A Survey

preprint2016arXivOpen access

Abstract

The Erdös-Hajnal conjecture states that for every graph HH, there exists a constant δ(H)>0δ(H) > 0 such that every graph GG with no induced subgraph isomorphic to HH has either a clique or a stable set of size at least ∣V(G)∣δ(H)|V(G)|^{δ(H)}. This paper is a survey of some of the known results on this conjecture.

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