Ant colony optimization applied to minimum weight dominating set problem

In this paper we present an application of ant colony optimization (ACO) to the Minimum Weighted Dominating Set Problem. We introduce a heuristic for this problem that takes into account the weights of vertexes being covered and show that it is more efficient than the greedy algorithm using the standard heuristic. Further we give implementation details of ACO applied to this problem. We tested our algorithm on graphs with different sizes, edge densities, and weight distribution functions and shown that it gives greatly improved results over these acquired by the greedy algorithms.