Re: Minimum Dominating Set

Sadeq wrote:
Hi all,

Is there an algorithm for finding Minimum Dominating Set of a graph?
This algorithm should find the exact answer, not the approximation one.
Also, it shouldn't use brute force (trying all possible cases) to find
the answer, but it can be of any complexity.

Thanks in advance.


Have you had a look at:

A Note on the Complexity of Minimum Dominating Set. F. Grandoni. Journal of Discrete Algorithms. (To appear)

http://www.dsi.uniroma1.it/~grandoni/Gjda.pdf

?

Grandoni suggests an algorithm for solving this problem whose complexity is O(1.81^n).

Luis
.

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