LEADER 03604nam 22006375 450 001 996466117603316 005 20200703035558.0 010 $a3-540-48672-0 024 7 $a10.1007/BFb0045375 035 $a(CKB)1000000000234161 035 $a(SSID)ssj0000327395 035 $a(PQKBManifestationID)11230854 035 $a(PQKBTitleCode)TC0000327395 035 $a(PQKBWorkID)10301356 035 $a(PQKB)10021428 035 $a(DE-He213)978-3-540-48672-5 035 $a(PPN)155193589 035 $a(EXLCZ)991000000000234161 100 $a20121227d1994 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aTreewidth$b[electronic resource] $eComputations and Approximations /$fby Ton Kloks 205 $a1st ed. 1994. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1994. 215 $a1 online resource (X, 218 p.) 225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v842 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-58356-4 327 $aand basic terminology -- Preliminaries -- Testing superperfection of k-trees -- Triangulating 3-colored graphs -- Only few graphs have bounded treewidth -- Approximating treewidth and pathwidth of a graph -- Approximating treewidth and pathwidth for some classes of perfect graphs -- Treewidth of chordal bipartite graphs -- Treewidth and pathwidth of permutation graphs -- Treewidth of circle graphs -- Finding all minimal separators of a graph -- Treewidth and pathwidth of cocomparability graphs of bounded dimension -- Pathwidth of pathwidth-bounded graphs -- Treewidth of treewidth-bounded graphs -- Recognizing treewidth-bounded graphs. 330 $aThis treatise investigates a number of problems related to treewidth and pathwidth of graphs. The main objective is to obtain good bounds on the complexity of determining the treewidth and pathwidth for various classes of graphs. Originating from the author's Ph.D. thesis, this monograph presents original own work. Nevertheless, many interesting perspectives beyond are presented. In total, the book is a smooth introduction to the topic of graphs of bounded treewidth. It will help to satisfy the strong interest among the algorithmic graph theory community in the theory pertaining to the topic. Particularly valuable is the thorough survey given of the relevant current literature. 410 0$aLecture Notes in Computer Science,$x0302-9743 ;$v842 606 $aComputers 606 $aAlgorithms 606 $aCombinatorics 606 $aComputer graphics 606 $aTheory of Computation$3https://scigraph.springernature.com/ontologies/product-market-codes/I16005 606 $aAlgorithm Analysis and Problem Complexity$3https://scigraph.springernature.com/ontologies/product-market-codes/I16021 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aComputer Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22013 615 0$aComputers. 615 0$aAlgorithms. 615 0$aCombinatorics. 615 0$aComputer graphics. 615 14$aTheory of Computation. 615 24$aAlgorithm Analysis and Problem Complexity. 615 24$aCombinatorics. 615 24$aComputer Graphics. 676 $a511/.5 700 $aKloks$b Ton$4aut$4http://id.loc.gov/vocabulary/relators/aut$0714671 906 $aBOOK 912 $a996466117603316 996 $aTreewidth$91382013 997 $aUNISA