The Extension Degree Conditions for Fractional Factor

Wei GAO; Wei Fan WANG; Juan L.G.GUIRAO

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The Extension Degree Conditions for Fractional Factor

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In Gao’s previous work, the authors determined several degree conditions of a graph which admits fractional factor in particular settings. It was revealed that these degree conditions are tight if b = f(x) = g(x) = a for all vertices x in G. In this paper, we continue to discuss these degree conditions for admitting fractional factor in the setting that several vertices and edges are removed and there is a difference Δ between g(x) and f(x) for every vertex x in G. These obtained new degree conditions reformulate Gao’s previous conclusions, and show how Δ acts in the results. Furthermore,counterexamples are structured to reveal the sharpness of degree conditions in the setting f(x) =g(x) + Δ.

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《数学学报（英文版）》 |2020年第3期|305-317|共13页
作者
Wei GAO; Wei Fan WANG; Juan L.G.GUIRAO;
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作者单位

School of Information Science and Technology;

Yunnan Normal University;

Kunming 650500;

P.R.China;

Department of Mathematics;

Zhejiang Normal University;

Jinhua 321004;

P.R.C hina;

Departamento de Matematica Aplicada y Estadistica.Universidad Politecnica de Cartagena;

Hospital de Marina;

30203-Cartagena;

Region de Murcia;

Spain;

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原文格式 PDF
正文语种 chi
中图分类图论;
关键词
Fractional; factor; degree; condition; independent; set;

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The Extension Degree Conditions for Fractional Factor

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