In this paper, we consider cooperative games arising from total domination problem on graphs. We introduce two games, rigid total dominating set game and relaxed total dominating set game, and focus on their cores. First, a common necessary and sufficient condition for the balancedness of the two total dominating set games is obtained. Next, the computational issues on cores are discussed. We prove that in general the problems of testing the balancedness and testing the membership of the core are all NP-hard for both total dominating set games. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Fang, Q., Kim, H. K., & Lee, D. S. (2005). Total dominating set games. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3828 LNCS, pp. 520–530). Springer Verlag. https://doi.org/10.1007/11600930_52
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