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书名 图的度因子和分支因子(英文)/数学统计学系列
分类 科学技术-自然科学-数学
作者 周思中
出版社 哈尔滨工业大学出版社
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简介
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图的因子理论是图论的重要分支之一,是图论研究中最活跃的课题之一。本书共5章,主要介绍了图的度因子与分支因子的相关问题,给出了图的度因子与分支因子的基本术语、定义和图的参数,并对其进行了深入地研究。本书可供大学本科、研究生及数学爱好者参考阅读。
目录
Chapter 1 Introduction
1.1 Definitions and Terminologies
1.2 Graphic Parameters
1.3 Background and Significance of the Study
Chapter 2 Fractional Factors in Graphs
2.1 Degree Conditions and Fractional K-Covered Graphs
2.2 Fractional Factors with Given Properties in Graphs
2.3 Fractional(g,f,n,)-Critical Graphs
2.4 Fractional ID-[a,b] -Factor-Critical Graphs
Chapter 3 All Fractional Factors in Graphs
3.1 All Fractional Factors with Inclusion Properties
3.2 All Fractional Factors with Exclusion Properties
3.3 All Fractional ID-[a,b] -Factor-Critical Graphs
Chapter 4 Orthogonal Factorizations of Graphs
4.1 Orthogonal Factorizations in Bipartite Graphs
4.2 Orthogonal Factorizations in Digraphs
Chapter 5 Component Factors in Graphs
5.1 A Characterization for Star-factors of Graphs
5.2 Path-factor Covered Graphs
5.3 Path-factor Deleted Graphs
5.4 Path-factor Critical Graphs
References
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