Analysis of a greedy heuristic for finding small dominating sets in graphs
Information Processing Letters
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
WSEAS Transactions on Computers
Parameterized and Exact Computation
Minimum Connected Dominating Set Using a Collaborative Cover Heuristic for Ad Hoc Sensor Networks
IEEE Transactions on Parallel and Distributed Systems
WSEAS TRANSACTIONS on COMMUNICATIONS
Hybrid metaheuristic algorithms for minimum weight dominating set
Applied Soft Computing
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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.