A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set in Graphs
نویسندگان
چکیده
A dominating set D of a graph G = (V,E) is a subset of vertices such that every vertex in V \D has at least one neighbour in D. Moreover if D is an independent set, i.e. no vertices in D are pairwise adjacent, then D is said to be an independent dominating set. Finding a minimum independent dominating set in a graph is an NP-hard problem. We give an algorithm computing a minimum independent dominating set of a graph on n vertices in time O(1.3575). Furthermore, we show that Ω(1.3247) is a lower bound on the worst-case running time of this algorithm.
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ISSN 0333-3590 A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set in Graphs
An independent dominating set D of a graph G = (V, E) is a subset of vertices such that every vertex in V \ D has at least one neighbour in D and D is an independent set, i.e. no two vertices in D are adjacent. Finding a minimum independent dominating set in a graph is an NP-hard problem. Whereas it is hard to cope with this problem using parameterized and approximation algorithms, there is a s...
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