goto contents

Ragnar Nevries

Efficient domination and polarity

Universität Rostock, 2014

Abstract: 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.

doctoral thesis   free access    


OPACGVKDataCite Search


all rights reserved

This work may only be used under the terms of the German Copyright Law (Urheberrechtsgesetz).