LEADER 03094nam 22004935 450 001 9910483068703321 005 20251113204855.0 010 $a3-030-51117-0 024 7 $a10.1007/978-3-030-51117-3 035 $a(CKB)4100000011513468 035 $a(DE-He213)978-3-030-51117-3 035 $a(MiAaPQ)EBC6381470 035 $a(PPN)257359222 035 $a(EXLCZ)994100000011513468 100 $a20201019d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopics in Domination in Graphs /$fedited by Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (VIII, 545 p. 50 illus., 49 illus. in color.) 225 1 $aDevelopments in Mathematics,$x2197-795X ;$v64 311 08$a3-030-51116-2 327 $aGlossary of Common Terms(W. Haynes) -- Models of Domination in Graphs(W. Haynes) -- Paired Domination in Graphs(W. Haynes) -- Connected domination (Chellali) -- Restrained and total restrained domination in graphs(H. Hattingh) -- Multiple domination(Hansberg) -- Distance Domination in Graphs(A. Henning) -- Locating-Domination and Identification(Lobstein) -- Signed and Minus Dominating Functions in Graphs(Shan) -- Fractional Dominating Parameters(A Henning) -- Roman domination in graphs(Chellali) -- Rainbow Domination in Graphs(Bresar) -- Eternal and Secure Domination in Graphs(M Mynhardt) -- Strati ed Domination(Chartrand) -- Global Domination(C. Brigham) -- Power domination in graphs(Dorbec). 330 $aThis volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The focus is on primary dominating sets such as paired domination, connected domination, restrained domination, dominating functions, Roman domination, and power domination. Additionally, surveys include known results with a sample of proof techniques for each parameter. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms; the second chapter provides an overview of models of domination from which the parameters are defined. The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments in the field and proof techniques used. 410 0$aDevelopments in Mathematics,$x2197-795X ;$v64 606 $aGraph theory 606 $aGraph Theory 615 0$aGraph theory. 615 14$aGraph Theory. 676 $a511.5 702 $aHedetniemi$b S. T. 702 $aHaynes$b Teresa W.$f1953- 702 $aHenning$b Mike 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483068703321 996 $aTopics in domination in graphs$92547740 997 $aUNINA