周思中编著的《分数因子和分数消去图(现代数学专著版)》共五章。第一章介绍了图的基础术语和参数概念。第二章给出了有关图的分数因子的一些性质。第三章介绍了分数可消去图。在后两章中给出了图的联结数与分数可消去图之间的关系,以及一个图是分数可消去图的若干充分条件。全书结构清晰,对图的分数因子理论作了进一步改进和完善。
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书名 | 分数因子和分数消去图(现代数学专著版) |
分类 | 科学技术-自然科学-数学 |
作者 | 周思中 |
出版社 | 武汉大学出版社 |
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简介 | 编辑推荐 周思中编著的《分数因子和分数消去图(现代数学专著版)》共五章。第一章介绍了图的基础术语和参数概念。第二章给出了有关图的分数因子的一些性质。第三章介绍了分数可消去图。在后两章中给出了图的联结数与分数可消去图之间的关系,以及一个图是分数可消去图的若干充分条件。全书结构清晰,对图的分数因子理论作了进一步改进和完善。 内容推荐 周思中编著的《分数因子和分数消去图(现代数学专著版)》介绍了,There are five chapters in this book. Basic terminologies and graphicparameters are introduced in Chapter 1. We show some results on fractionalfactors of graphs in Chapter 2. We investigate fractional deleted graphs in Chapter3. We present some theorems related to fractional (k,m)-deleted graphs inChapter 4. We study fractional (g,f,m)-deleted graphs in Chapter 5. This book is primarily aimed at researchers and graduate students in graphtheory. 目录 Preface Chapter 1 Terminologies and Graphic Parameters 1.1 Basic Terminologies 1.2 Graphic Parameters Chapter 2 Fractional Factors 2.1 Fractional/c-Factors 2.2 Fractional k-Factors Including Any Given Edge 2.3 Fractional (9, f)-Factors with Prescribed Properties Chapter 3 Fractional Deleted Graphs 3.1 Fractional/c-Deleted Graphs 3.2 Fractional (9, f)-Deleted Graphs Chapter 4 Fractional (k, m)-Deleted Graphs 4.1 A Criterion for Fractional (k, m)-Deleted Graphs 4.2 Degree Conditions for Fractional (k, m)-Deleted Graphs 4.3 Neighborhood and Fractional (k, m)-Deleted Graphs 4.4 Binding Number and Fractional (k, m)-Deleted Graphs 4.5 Toughness and Fractional (k, m)-Deleted Graphs Chapter 5 Fractional (g, f, m)-Deleted Graphs 5.1 Preliminary and Results 5.2 Proof of Main Theorems References |
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