Factors and Factorizations of Graphs: Proof Techniques in Factor Theory by Mikio

Description: Factors and Factorizations of Graphs by Mikio Kano, Jin Akiyama This stands in marked contrast to the seemingly countless, complex proof techniques offered by the extant body of papers and books. 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Notes 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. Back Cover 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. 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. Review 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 Kanos 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) Review Quote 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 Kanos 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) Feature 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. Details ISBN3642219187 Author Jin Akiyama Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Series Lecture Notes in Mathematics Year 2011 ISBN-10 3642219187 ISBN-13 9783642219184 Format Paperback Publication Date 2011-06-23 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany DEWEY 511.5 Short Title FACTORS & FACTORIZATIONS OF GR Language English Media Book Series Number 2031 Subtitle Proof Techniques in Factor Theory Pages 353 Edition 2011th Illustrations 153 Illustrations, black and white; XII, 353 p. 153 illus. DOI 10.1007/978-3-642-21919-1 Edition Description 2011 ed. Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96240228;

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