03085nam 22005775 450 99646664710331620200707011720.03-642-21919-510.1007/978-3-642-21919-1(CKB)2670000000096132(SSID)ssj0000506045(PQKBManifestationID)11335519(PQKBTitleCode)TC0000506045(PQKBWorkID)10513776(PQKB)10151623(DE-He213)978-3-642-21919-1(MiAaPQ)EBC3066849(PPN)153860944(EXLCZ)99267000000009613220110621d2011 u| 0engurnn|008mamaatxtccrFactors and Factorizations of Graphs[electronic resource] Proof Techniques in Factor Theory /by Jin Akiyama, Mikio Kano1st ed. 2011.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2011.1 online resource (XII, 353 p. 153 illus.) Lecture Notes in Mathematics,0075-8434 ;2031Bibliographic Level Mode of Issuance: Monograph3-642-21918-7 Includes bibliographical references and index.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.Lecture Notes in Mathematics,0075-8434 ;2031MathematicsComputer programmingMathematics, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/M00009Programming Techniqueshttps://scigraph.springernature.com/ontologies/product-market-codes/I14010Mathematics.Computer programming.Mathematics, general.Programming Techniques.512/.57Akiyama Jinauthttp://id.loc.gov/vocabulary/relators/aut478959Kano Mikioauthttp://id.loc.gov/vocabulary/relators/autBOOK996466647103316Factors and Factorizations of Graphs2830255UNISA