Parameterized Edge Dominating Set in Cubic Graphs
نویسندگان
چکیده
In this paper, we present an improved algorithm to decide whether a graph of maximum degree 3 has an edge dominating set of size k or not, which is based on enumerating vertex covers. We first enumerate vertex covers of size at most 2k and then construct an edge dominating set based on each vertex cover to find a satisfied edge dominating set. To enumerate vertex covers, we use a branch-and-reduce method, which will generate a search tree of size O(2.1479). Then we get the running time bound of the algorithm.
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