Factors and Fractional Factors of Graphs

目录

声明

Contents

摘要

English Abstract

Chapter 1 Introduction

1．1 Definitions and Terminologies

1．2 Introductions on Factors of Graphs

1．3 Introductions on Fractional Factors of Graphs

Chapter 2 Toughness Conditions for the Existence of Fractional ID-k-factor-critical Graphs

2．1 Toughness Conditions for the Existence of Fractional ID-k-factor-critical Graphs

Chapter 3 Independent Number Conditions for the Existence of Fractional ID-[a，b]-factor-critical Graphs and (g，f)-factors

3．1 Independent Number Conditions for the Existence of Fractional ID-[a，6]-factor-critical Graphs

3．2 Minimum Degree Conditions for the Existence of(g，f)-factors

Chapter 4 Neighbourhood Conditions for the Existence of Fractional ID-[a，b]-factor-critical Graphs

4．1 Neighbourhood Conditions for the Existence of Fractional ID-[a，6]-factor-critical Graphs

Bibliography

Publications and Finished Papers

Acknowledgements