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Factors and Factorizations of Graphs [[electronic resource] ] : Proof Techniques in Factor Theory / / by Jin Akiyama, Mikio Kano



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Autore: Akiyama Jin Visualizza persona
Titolo: Factors and Factorizations of Graphs [[electronic resource] ] : Proof Techniques in Factor Theory / / by Jin Akiyama, Mikio Kano Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011
Edizione: 1st ed. 2011.
Descrizione fisica: 1 online resource (XII, 353 p. 153 illus.)
Disciplina: 512/.57
Soggetto topico: Mathematics
Computer programming
Mathematics, general
Programming Techniques
Persona (resp. second.): KanoMikio
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Factors and Factorizations of Graphs  Visualizza cluster
ISBN: 3-642-21919-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466647103316
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2031