Authors:
- The book is self-contained and comprehensive, allowing readers to rely on it exclusively to understand the entire history and development of this area.
- Unlike other books, in which difficult proof techniques are simply lifted from earlier sources, in this book, the contents of each proof technique is analyzed and streamlined.
- Each chapter features conjectures and open problems, inspiring readers to further their own study.
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2031)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
“The book covers such central topics of the theory of graph factorization as matchings, regular factors, f-factors, (g. f)-factors, [a,b]-factorisation. … great value to graduate students and researchers in graph theory. The book is written very carefully and in clear style, and it contains numerous figures illustrating key notions. … Akiyama and Kano’s book makes a great contribution to furthering the study of graph factorization by collecting and exhibiting some of the most important concepts and results obtained since the nineteen eighties.” (Anders Sune Pedersen, Zentralblatt MATH, Vol. 1229, 2012)
“Many theorems in this book can be proved using only a few standard proof techniques, which makes it very easy for readers to understand factors and factorizations of graphs. Furthermore, many detailed illustrations are given to accompany the proofs. This book is comprehensive and covers most of the important results since 1980. Hence, it provides much worthwhile information to readers.” (Sizhong Zhou, Mathematical Reviews, Issue 2012 k)
Authors and Affiliations
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Research Institute, of Educational Development, Tokai University, Shibuya-ku, Japan
Jin Akiyama
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Computer and Information Sciences, Ibaraki University, Hitachi, Japan
Mikio Kano
Bibliographic Information
Book Title: Factors and Factorizations of Graphs
Book Subtitle: Proof Techniques in Factor Theory
Authors: Jin Akiyama, Mikio Kano
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-21919-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-21918-4Published: 23 June 2011
eBook ISBN: 978-3-642-21919-1Published: 21 June 2011
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 353
Number of Illustrations: 153 b/w illustrations