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Factors and factorizations of graphs : proof techniques in factor theory / Jin Akiyama; Mikio Kano

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Lecture notes in mathematics ; 2031Publisher: Heidelberg [u.a.] : Springer, 2011Description: Online-RessourceISBN:
  • 9783642219191
Subject(s): Additional physical formats: 9783642219184 | Erscheint auch als: Factors and factorizations of graphs. Druck-Ausgabe Berlin : Springer, 2011. XII, 353 S.DDC classification:
  • 511.5
  • 510
  • 512/.57 23
MSC: MSC: *05-02 | 05C70 | 05C75RVK: RVK: SK 890 | SI 850LOC classification:
  • QA1-939
DOI: DOI: 10.1007/978-3-642-21919-1Online resources: Summary: 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 TreesSummary: 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 factorizationPPN: PPN: 165097258XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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