Graphs with Few 3-cliques and 3-anticliques are 3-universal

Nati Linial; Avraham Morgenstern

doi:10.1002/jgt.21801

Graphs with Few 3-cliques and 3-anticliques are 3-universal

Nati Linial
, Avraham Morgenstern

The Rachel and Selim Benin School of Engineering and Computer Science

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

4 Scopus citations

Abstract

For given integers k, l we ask whether every large graph with a sufficiently small number of k-cliques and k-anticliques must contain an induced copy of every l-vertex graph. Here we prove this claim for k = l = 3 with a sharp bound. A similar phenomenon is established as well for tournaments with k = l = 4.

Original language	English
Pages (from-to)	229-238
Number of pages	10
Journal	Journal of Graph Theory
Volume	78
Issue number	3
DOIs	https://doi.org/10.1002/jgt.21801
State	Published - 1 Mar 2015

Bibliographical note

Publisher Copyright:
© 2014 Wiley Periodicals, Inc.

Keywords

Anticliques
Cliques
Erdos-Hajnal conjecture
Tournaments
Universality

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10.1002/jgt.21801

Cite this

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abstract = "For given integers k, l we ask whether every large graph with a sufficiently small number of k-cliques and k-anticliques must contain an induced copy of every l-vertex graph. Here we prove this claim for k = l = 3 with a sharp bound. A similar phenomenon is established as well for tournaments with k = l = 4.",

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KW - Anticliques

KW - Cliques

KW - Erdos-Hajnal conjecture

KW - Tournaments

KW - Universality

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Graphs with Few 3-cliques and 3-anticliques are 3-universal

Abstract

Bibliographical note

Keywords

Access to Document

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