Characterization of forbidden subgraphs for the existence of even factors in a graph

Liming Xiong

doi:10.1016/j.dam.2017.02.015

Characterization of forbidden subgraphs for the existence of even factors in a graph

Liming Xiong

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

17 引用（Scopus）

摘要

In 2008, it is shown that if H≅K_1,3 (the claw), then every H-free graph G has an even factor if and only if δ(G)≥2 and every odd branch-bond of G having an edge-branch. In this paper, we characterize all connected graphs H with order at least three such that every H-free graph has an even factor if and only if δ(G)≥2 and every odd branch-bond of G has an edge-branch.

源语言	英语
页（从-至）	135-139
页数	5
期刊	Discrete Applied Mathematics
卷	223
DOI	https://doi.org/10.1016/j.dam.2017.02.015
出版状态	已出版 - 31 5月 2017

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10.1016/j.dam.2017.02.015

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AB - In 2008, it is shown that if H≅K1,3 (the claw), then every H-free graph G has an even factor if and only if δ(G)≥2 and every odd branch-bond of G having an edge-branch. In this paper, we characterize all connected graphs H with order at least three such that every H-free graph has an even factor if and only if δ(G)≥2 and every odd branch-bond of G has an edge-branch.

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KW - Chair-free

KW - Claw-free

KW - Even factor

KW - Forbidden graph

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Characterization of forbidden subgraphs for the existence of even factors in a graph

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