02787nam 2200589 a 450 991048485430332120200520144314.03-642-21919-510.1007/978-3-642-21919-1(CKB)2670000000096132(SSID)ssj0000506045(PQKBManifestationID)11335519(PQKBTitleCode)TC0000506045(PQKBWorkID)10513776(PQKB)10151623(DE-He213)978-3-642-21919-1(MiAaPQ)EBC3066849(PPN)153860944(EXLCZ)99267000000009613220110617d2011 uy 0engurnn|008mamaatxtccrFactors and factorizations of graphs proof techniques in factor theory /Jin Akiyama, Mikio Kano1st ed. 2011.New York Springer20111 online resource (XII, 353 p. 153 illus.) Lecture notes in mathematics (Springer-Verlag),0075-8438 ;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 (Springer-Verlag) ;2031.Factors (Algebra)Factorization (Mathematics)Graph theoryFactors (Algebra)Factorization (Mathematics)Graph theory.512/.57Akiyama J1609637Kano Mikio512838MiAaPQMiAaPQMiAaPQBOOK9910484854303321Factors and factorizations of graphs4202094UNINA