LEADER 02787nam 2200589 a 450 001 9910484854303321 005 20200520144314.0 010 $a3-642-21919-5 024 7 $a10.1007/978-3-642-21919-1 035 $a(CKB)2670000000096132 035 $a(SSID)ssj0000506045 035 $a(PQKBManifestationID)11335519 035 $a(PQKBTitleCode)TC0000506045 035 $a(PQKBWorkID)10513776 035 $a(PQKB)10151623 035 $a(DE-He213)978-3-642-21919-1 035 $a(MiAaPQ)EBC3066849 035 $a(PPN)153860944 035 $a(EXLCZ)992670000000096132 100 $a20110617d2011 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFactors and factorizations of graphs $eproof techniques in factor theory /$fJin Akiyama, Mikio Kano 205 $a1st ed. 2011. 210 $aNew York $cSpringer$d2011 215 $a1 online resource (XII, 353 p. 153 illus.) 225 1 $aLecture notes in mathematics (Springer-Verlag),$x0075-8438 ;$v2031 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-21918-7 320 $aIncludes bibliographical references and index. 327 $a1 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. 330 $aThis book chronicles the development of graph factors and factorizations. It pursues a comprehensive approach, addressing most of the important results from hundreds of findings over the last century. One of the main themes is the observation that many theorems can be proved using only a few standard proof techniques. This stands in marked contrast to the seemingly countless, complex proof techniques offered by the extant body of papers and books. In addition to covering the history and development of this area, the book offers conjectures and discusses open problems. It also includes numerous explanatory figures that enable readers to progressively and intuitively understand the most important notions and proofs in the area of factors and factorization. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2031. 606 $aFactors (Algebra) 606 $aFactorization (Mathematics) 606 $aGraph theory 615 0$aFactors (Algebra) 615 0$aFactorization (Mathematics) 615 0$aGraph theory. 676 $a512/.57 700 $aAkiyama$b J$01609637 701 $aKano$b Mikio$0512838 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484854303321 996 $aFactors and factorizations of graphs$94202094 997 $aUNINA