数学·统计学系列图的度因子和分支因子(英文) 内容简介

This book mainly discusses the degree factors and the component factors in graphs, and isdivided into five chapters. In chapter 1, we give the basic terminologies, definitions, graphic paramelers, background and significance of the study. In chapter 2, we discuss the existence offractional factors with given properties in graphs. In chapter 3, we present some definitions related to all fractional factors of graphs and derive some results for graphs to admit all fractional factors In chapter 4, we study orthogonal factorizations in graphs or digraphs which are natural improvements and generalizations of the previous results. In chapter 5, we study component factors of graphs and gain some interesting results on the existence of component factors in graphs。