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DM
2008

Restrained bondage in graphs

13 years 3 months ago
Restrained bondage in graphs
Let G = (V, E) be a graph. A set S V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in V - S. The restrained domination number of G, denoted by r(G), is the smallest cardinality of a restrained dominating set of G. We define the restrained bondage number br(G) of a nonempty graph G to be the minimum cardinality among all sets of edges E E for which r(G - E ) > r(G). Sharp bounds are obtained for br(G), and exact values are determined for several classes of graphs. Also, we show that the decision problem for br(G) is NP-complete even for bipartite graphs.
Johannes H. Hattingh, Andrew R. Plummer
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where DM
Authors Johannes H. Hattingh, Andrew R. Plummer
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