On the 2-rainbow domination in graphs
نویسندگان
چکیده
The concept of 2-rainbow domination of a graph G coincides with the ordinary domination of the prism G K2. In this paper, we show that the problem of deciding if a graph has a 2-rainbow dominating function of a given weight is NP-complete even when restricted to bipartite graphs or chordal graphs. Exact values of 2-rainbow domination numbers of several classes of graphs are found, and it is shown that for the generalized Petersen graphs GP(n, k) this number is between 4n/5 and n with both bounds being sharp. © 2007 Elsevier B.V. All rights reserved. MSC: 05C85; 05C69
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 155 شماره
صفحات -
تاریخ انتشار 2007