On Chromatic Vertex Stability of 3-Chromatic Graphs With Maximum Degree 4

IF 1 Q1 MATHEMATICS
M. Knor, Mirko Petruvsevski, Riste vSkrekovski
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引用次数: 0

Abstract

The (independent) chromatic vertex stability (ivs χ ( G )) vs χ ( G ) is the minimum size of (independent) set S ⊆ V ( G ) such that χ ( G − S ) = χ ( G ) − 1. In this paper we construct infinitely many graphs G with ∆( G ) = 4, χ ( G ) = 3, ivs χ ( G ) = 3 and vs χ ( G ) = 2, which gives a partial negative answer to a problem posed in [3].
关于最大度为4的3-色图的色顶点稳定性
(独立)色顶点稳定性(ivs χ (G)) vs χ (G)是(独立)集合S的最小规模,使χ (G−S) = χ (G)−1。本文构造了无穷多个图G,其中∆(G) = 4, χ (G) = 3, ivs χ (G) = 3, vs χ (G) = 2,给出了[3]中问题的部分负解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Discrete Mathematics Letters
Discrete Mathematics Letters Mathematics-Discrete Mathematics and Combinatorics
CiteScore
1.50
自引率
12.50%
发文量
47
审稿时长
12 weeks
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