The Erdös-Hajnal conjecture - A survey

Maria Chudnovsky

doi:10.1002/jgt.21730

The Erdös-Hajnal conjecture - A survey

Maria Chudnovsky

Research output: Contribution to journal › Article › peer-review

78 Scopus citations

Abstract

The Erdös-Hajnal conjecture states that for every graph H, there exists a constant δ(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)|δ(H). This article is a survey of some of the known results on this conjecture.

Original language	English (US)
Pages (from-to)	178-190
Number of pages	13
Journal	Journal of Graph Theory
Volume	75
Issue number	2
DOIs	https://doi.org/10.1002/jgt.21730
State	Published - Feb 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Erdös-Hajnal conjecture
induced subgraphs

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10.1002/jgt.21730

Cite this

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abstract = "The Erd{\"o}s-Hajnal conjecture states that for every graph H, there exists a constant δ(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)|δ(H). This article is a survey of some of the known results on this conjecture.",

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AB - The Erdös-Hajnal conjecture states that for every graph H, there exists a constant δ(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)|δ(H). This article is a survey of some of the known results on this conjecture.

KW - Erdös-Hajnal conjecture

KW - induced subgraphs

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The Erdös-Hajnal conjecture - A survey

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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