NP-completeness of weakly convex and convex dominating set decision problems

The convex domination number and the weakly convex domination number are new domination parameters. In this paper we show that the decision problems of convex and weakly convex dominating sets are \(NP\)-complete for bipartite and split graphs. Using a modified version of Warshall algorithm we can v...

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Bibliographic Details
Main Author: Joanna Raczek
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2004-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol24/2/art/opuscula_math_2417.pdf