LEADER 03851nam 22006855 450 001 9910254098903321 005 20251116155834.0 010 $a3-319-33828-5 024 7 $a10.1007/978-3-319-33828-6 035 $a(CKB)3710000000734712 035 $a(EBL)4573807 035 $a(DE-He213)978-3-319-33828-6 035 $a(MiAaPQ)EBC4573807 035 $a(PPN)194379930 035 $a(EXLCZ)993710000000734712 100 $a20160630d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeneralized connectivity of graphs /$fby Xueliang Li, Yaping Mao 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (148 p.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 300 $aDescription based upon print version of record. 311 08$a3-319-33827-7 320 $aIncludes bibliographical references and index. 327 $a1. Introduction -- 2. Results for some graph classes -- 3. Algorithm and complexity -- 4. Sharp bounds of the generalized (edge-) connectivity -- 5. Graphs with given generalized connectivity -- 6. Nordhaus-Gaddum-type results -- 7. Results for graph products -- 8. Maximum generalized local connectivity -- 9. Generalized connectivity for random graphs -- Bibliography.? Index. . 330 $aNoteworthy results, proof techniques, open problems and conjectures in generalized (edge-) connectivity are discussed in this book. Both theoretical and practical analyses for generalized (edge-) connectivity of graphs are provided. Topics covered in this book include: generalized (edge-) connectivity of graph classes, algorithms, computational complexity, sharp bounds, Nordhaus-Gaddum-type results, maximum generalized local connectivity, extremal problems, random graphs, multigraphs, relations with the Steiner tree packing problem and generalizations of connectivity. This book enables graduate students to understand and master a segment of graph theory and combinatorial optimization. Researchers in graph theory, combinatorics, combinatorial optimization, probability, computer science, discrete algorithms, complexity analysis, network design, and the information transferring models will find this book useful in their studies. 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aGraph theory 606 $aCombinatorial analysis 606 $aComputer science?Mathematics 606 $aOperations research 606 $aManagement science 606 $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aDiscrete Mathematics in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17028 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 615 0$aGraph theory. 615 0$aCombinatorial analysis. 615 0$aComputer science?Mathematics. 615 0$aOperations research. 615 0$aManagement science. 615 14$aGraph Theory. 615 24$aCombinatorics. 615 24$aDiscrete Mathematics in Computer Science. 615 24$aOperations Research, Management Science. 676 $a510 700 $aLi$b Xueliang$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755922 702 $aMao$b Yaping$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254098903321 996 $aGeneralized Connectivity of Graphs$92028737 997 $aUNINA