%0 Book %T Efficient domination and polarity %A Nevries, Ragnar Christopher %D 2014 %G English %F 806818689 %O vorgelegt von Ragnar Christopher Nevries %O Rostock, Univ., Fak. für Informatik und Elektrotechnik, Diss., 2014 %X The thesis considers the following graph problems: Efficient (Edge) Domination seeks for an independent vertex (edge) subset D such that all other vertices (edges) have exactly one neighbor in D. Polarity asks for a vertex subset that induces a complete multipartite graph and that contains a vertex of every induced P_3. Monopolarity is the special case of Polarity where the wanted vertex subset has to be independent. These problems are NP-complete in general, but efficiently solvable on various graph classes. The thesis sharpens known NP-completeness results and presents new solvable cases. %L 004.015115 %9 theses %9 Text %9 Hochschulschrift %U http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0183-3 %U http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2014-0183-3&pdf %U http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2014-0183-3