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＜電子ブック＞
Factors and Factorizations of Graphs : Proof Techniques in Factor Theory / by Jin Akiyama, Mikio Kano
(Lecture Notes in Mathematics. ISSN:16179692 ; 2031)

版	1st ed. 2011.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2011
大きさ	XII, 353 p. 153 illus : online resource
著者標目	*Akiyama, Jin author Kano, Mikio author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Computer programming FREE:Mathematics FREE:Programming Techniques
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-642-21919-1

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