内容推荐 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 |