Efficient domination through eigenvalues
نویسندگان
چکیده
The paper begins with a new characterization of (k, τ)-regular sets. Then, using this result as well as the theory of star complements, we derive a simplex-like algorithm for determining whether or not a graph contains a (0, τ)-regular set. When τ = 1, this algorithm can be applied to solve the efficient dominating set problem which is known to be NPcomplete. If −1 is not an eigenvalue of the adjacency matrix of the graph, this particular algorithm runs in polynomial time. However, although it doesn’t work in polynomial time in general, we report on its successful application to a vast set of randomly generated graphs. AMS classification 05C50
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عنوان ژورنال:
- Discrete Applied Mathematics
دوره 214 شماره
صفحات -
تاریخ انتشار 2016