图的(连通)2因子存在的禁止子图

IF 0.5 4区数学 Q3 MATHEMATICS

Discussiones Mathematicae Graph Theory Pub Date : 2022-11-25 DOI:10.7151/dmgt.2366

Xiaojing Yang, Liming Xiong

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引用次数: 0

摘要

显然，图中存在2因子是图为哈密顿函数的必要条件，而图中存在偶因子是图为2因子的必要条件。在本文中，我们分别完整地刻画了强迫含有2因子的2连通图(必要条件)为哈密顿量和含有偶因子的2连通图(必要条件)为2因子的禁止子图和禁止子图对。我们的结果表明，如果我们分别施加两个必要条件，这些禁止子图对分别比Faudree, Gould和Fujisawa, Saito中的禁止子图对更宽。

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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Forbidden Subgraphs for Existences of (Connected) 2-Factors of a Graph

Abstract Clearly, having a 2-factor in a graph is a necessary condition for a graph to be hamiltonian, while having an even factor in graph is a necessary condition for a graph to have a 2-factor. In this paper, we completely characterize the forbidden subgraph and pairs of forbidden subgraphs that force a 2-connected graph admitting a 2-factor (a necessary condition) to be hamiltonian and a connected graph with an even factor (a necessary condition) to have a 2-factor, respectively. Our results show that these pairs of forbidden subgraphs become wider than those in Faudree, Gould and in Fujisawa, Saito, respectively, if we impose the two necessary conditions, respectively.

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来源期刊

Discussiones Mathematicae Graph Theory MATHEMATICS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

53 weeks

期刊介绍： The Discussiones Mathematicae Graph Theory publishes high-quality refereed original papers. Occasionally, very authoritative expository survey articles and notes of exceptional value can be published. The journal is mainly devoted to the following topics in Graph Theory: colourings, partitions (general colourings), hereditary properties, independence and domination, structures in graphs (sets, paths, cycles, etc.), local properties, products of graphs as well as graph algorithms related to these topics.