《分数因子和分数消去图 英文》PDF下载

  • 购买积分:9 如何计算积分?
  • 作  者:周思中著
  • 出 版 社:武汉:武汉大学出版社
  • 出版年份:2014
  • ISBN:9787307145894
  • 页数:156 页
图书介绍:本书共五章。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。

Preface 1

Chapter 1 Terminologies and Graphic Parameters 1

1.1 Basic Terminologies 1

1.2 Graphic Parameters 2

Chapter2 Fractional Factors 5

2.1 Fractional k-Factors 5

2.2 Fractional k-Factors Including Any Given Edge 48

2.3 Fractional(g,f)-Factors with Prescribed Properties 57

Chapter 3 Fractional Deleted Graphs 66

3.1 Fractional k-Deleted Graphs 66

3.2 Fractional(g,f)-Deleted Graphs 88

Chapter 4 Fractional(k,m)-Deleted Graphs 108

4.1 A Criterion for Fractional(k,m)-Deleted Graphs 108

4.2 Degree Conditions for Fractional(k,m)-Deleted Graphs 110

4.3 Neighborhood and Fractional (k,m)-Deleted Graphs 121

4.4 Binding Number and Fractional(k,m)-Deleted Graphs 134

4.5 Toughness and Fractional(k,m)-Deleted Graphs 141

Chapter 5 Fractional(g,f,m)-Deleted Graphs 149

5.1 Preliminary and Results 149

5.2 Proof of Main Theorems 151

References 153