A closure concept based on neighborhood unions of independent triples

Haitze J. Broersma; I. Schiermeyer

doi:10.1016/0012-365X(92)00049-W

A closure concept based on neighborhood unions of independent triples

Haitze J. Broersma, I. Schiermeyer

Discrete Mathematics and Mathematical Programming

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Abstract

The well-known closure concept of Bondy and Chvatal is based on degree-sums of pairs of nonadjacent (independent) vertices. We show that a more general concept due to Ainouche and Christofides can be restated in terms of degree-sums of independent triples. We introduce a closure concept which is based on neighborhood unions of independent triples and which also generalizes the closure concept of Bondy and Chvatal.

Original language	English
Pages (from-to)	37-47
Number of pages	11
Journal	Discrete mathematics
Volume	124
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(92)00049-W
Publication status	Published - 1994

Keywords

METIS-140374
IR-29740

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AB - The well-known closure concept of Bondy and Chvatal is based on degree-sums of pairs of nonadjacent (independent) vertices. We show that a more general concept due to Ainouche and Christofides can be restated in terms of degree-sums of independent triples. We introduce a closure concept which is based on neighborhood unions of independent triples and which also generalizes the closure concept of Bondy and Chvatal.

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JF - Discrete mathematics

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A closure concept based on neighborhood unions of independent triples

Abstract

Keywords

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