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100   $a20110621d2011      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aFactors and Factorizations of Graphs$b[electronic resource] $eProof Techniques in Factor Theory /$fby Jin Akiyama, Mikio Kano
205   $a1st ed. 2011.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011.
215   $a1 online resource (XII, 353 p. 153 illus.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$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,$x0075-8434 ;$v2031
606   $aMathematics
606   $aComputer programming
606   $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009
606   $aProgramming Techniques$3https://scigraph.springernature.com/ontologies/product-market-codes/I14010
615  0$aMathematics.
615  0$aComputer programming.
615 14$aMathematics, general.
615 24$aProgramming Techniques.
676   $a512/.57
700   $aAkiyama$b Jin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478959
702   $aKano$b Mikio$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a996466647103316
996   $aFactors and Factorizations of Graphs$92830255
997   $aUNISA

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