周思中著的《因子临界图(英文版)》分为五章。1章中,我们展示了基本的术语,定义和图形参数。在2章中,我们提出了图是一些充分条件(a,b,k)-临界图。本章分为三部分。首先,我们对存在的一些不足条件(A,B,K)-从附近的临界图,邻域和最小度,邻里联盟,并表明该结果在这部分是锋利的。其次,我们得到图是一些结合数条件(A,B,K)-临界图,并验证结果是锋利的。最后,我们研究(A,B,K)-临界图,并使用连接和独立数,独立数在一定意义上,得到了图的若干充分条件(一、二、四)-临界图,这些结果在一定程度上是最好的。
周思中著的《因子临界图(英文版)》mainly discusses the factor critical graph and fractional factor critical graphproblems. This book is divided into five chapters. In Chapter 1, we show basic terminologies,definitions and graphic parameters. In Chapter 2, we present some sufficient conditions for graphsto be ( a, b, k )-critical graphs. In Chapter 3, we study fractional critical graphs which are thegeneralizations of fractional factors in graphs. In Chapter 4, we investigate all fractional (a,b,k)-critical graphs. In Chapter 5,we discuss a generalization of fractional factors, i. e. , fractional ID-factor-critical graphs from different perspectives.
Chapter 1 Basic Terminologies and Graphic Parameters
1.1 Basic Terminologies
1.2 Graphic Parameters
Chapter 2 Graphic Parameter Conditions for Factor Critical Graphs
2.1 Neighborhood Conditions for (a,b,k)-Critical Graphs
2.2 Binding Numbers and (a,b,k)-Critical Graphs
2.3 Independence Numbers and (a,b,k)-Critical Graphs
Chapter 3 Properties of Fractional Factor Critical Graphs
3.1 Fractional (f,n)-Critical Graphs
3.2 Fractional (g,f,n)-Critical Graphs
Chapter 4 All Fractional Factor Critical Graphs
4.1 A Criterion for All Fractional (a,b,k)-Critical Graphs
4.2 Two Sufficient Conditions for All Fractional (a,b,k)-Critical Graphs
Chapter 5 Fractional ID-Factor Critical Graphs
5.1 Fractional ID-k-Factor-Critical Graphs
5.2 Fractional ID-[a,b]-Fact0r-Critical Graphs
5.3 Fractional ID-(g,f)-Factor-Critical Graphs
References