Unfriendly partitions for graphs not containing a subdivision of an infinite clique

Eli Berger

doi:10.1007/s00493-015-3261-1

Unfriendly partitions for graphs not containing a subdivision of an infinite clique

Eli Berger

Department of Mathematics

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

Abstract

We prove that in any graph containing no subdivision of an infinite clique there exists a partition of the vertices into two parts, satisfying the condition that every vertex has at least as many neighbors in the part not containing it as it has in its own part.

Original language	English
Pages (from-to)	157-166
Number of pages	10
Journal	Combinatorica
Volume	37
Issue number	2
DOIs	https://doi.org/10.1007/s00493-015-3261-1
State	Published - 1 Apr 2017

Bibliographical note

Publisher Copyright:
© 2017, János Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg.

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Computational Mathematics

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10.1007/s00493-015-3261-1

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abstract = "We prove that in any graph containing no subdivision of an infinite clique there exists a partition of the vertices into two parts, satisfying the condition that every vertex has at least as many neighbors in the part not containing it as it has in its own part.",

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Unfriendly partitions for graphs not containing a subdivision of an infinite clique

Abstract

Bibliographical note

ASJC Scopus subject areas

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