"Graph Factors and Matching Extensions" deals with two important
branches of graph theory – factor theory and extendable graphs.
Due to the mature techniques and wide ranges of applications, factors and
matchings become useful tools in investigation of many theoretical problems and practical
issues. This book includes basic techniques, theoretical foundations, as well as recent
advances in the field. It also discusses open problems and conjectures to inspire the
readers.
This book is primarily aimed at researchers and graduate students in graph theory and
combinatorics in general. However, all the necessary prerequisites are developed from
scratch and should be accessible to upper-level undergraduate students with prior
knowledge of graph theory.
Dr. Yu is a professor in the Department of Mathematics and Statistics
at the Thompson Rivers University of Canada. His research interests include graph theory
and combinatorial optimization.
Dr. Liu is a professor in the School of Mathematics at Shandong
University of China. Her research interests include graph theory and matroid theory.
Table of Contents
1 Matchings and Perfect Matchings 1
2 Degree Constraint Factors 39
3 Factors and Graphic Parameters 77
4 Component Factors and Connected Factors 123
5 Elementary Graphs and Decomposition Theory 165
6 [kappa]-Extendable Graphs and n-Factor-Critical Graphs 209
7 Extremal [kappa]-Extendable Graphs and Generalizations 251
8 Fractional Factors of Graphs 283
Index 325
References 329
353 pages, Hardcover