Factors and Factorizations of Graphs: Proof Techniques in Factor Theory

Factors and Factorizations of Graphs: Proof Techniques in Factor Theory

by Jin Akiyama, Mikio Kano


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This book chronicles the development of graph factors and factorizations. It pursues a comprehensive approach, addressing most of the important results from hundreds of findings over the last century. One of the main themes is the observation that many theorems can be proved using only a few standard proof techniques. This stands in marked contrast to the seemingly countless, complex proof techniques offered by the extant body of papers and books. In addition to covering the history and development of this area, the book offers conjectures and discusses open problems. It also includes numerous explanatory figures that enable readers to progressively and intuitively understand the most important notions and proofs in the area of factors and factorization.

Product Details

ISBN-13: 9783642219184
Publisher: Springer Berlin Heidelberg
Publication date: 07/08/2011
Series: Lecture Notes in Mathematics , #2031
Edition description: 2011
Pages: 353
Product dimensions: 6.10(w) x 9.10(h) x 0.80(d)

Table of Contents

1 Basic Terminology.- 2 Matchings and 1-Factors.- 3 Regular Factors and f-Factors.- 4 (g, f)-Factors and [a, b]-Factors.- 5 [a, b]-Factorizations.- 6 Parity Factors.- 7 Component Factors.- 8 Spanning Trees.

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