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arxiv: 1606.08827 · v1 · pith:TLCSE5PHnew · submitted 2016-06-28 · 🧮 math.CO

The Erd\"os-Hajnal Conjecture---A Survey

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keywords conjecturedeltaeverygraphos-hajnalsurveycliqueconjecture---a
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The Erd\"os-Hajnal conjecture states that for every graph $H$, there exists a constant $\delta(H) > 0$ such that every graph $G$ with no induced subgraph isomorphic to $H$ has either a clique or a stable set of size at least $|V(G)|^{\delta(H)}$. This paper is a survey of some of the known results on this conjecture.

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