Local Search for Minimum Weight Dominating Set with Two-Level
Configuration Checking and Frequency Based Scoring Function
(Extended Abstract)
Abstract
The Minimum Weight Dominating Set (MWDS)
problem is an important generalization of the Minimum Dominating Set (MDS) problem with extensive applications. This paper proposes a new local
search algorithm for the MWDS problem, which is
based on two new ideas. The first idea is a heuristic called two-level configuration checking (CC2
),
which is a new variant of a recent powerful configuration checking strategy (CC) for effectively avoiding the recent search paths. The second idea is
a novel scoring function based on the frequency
of being uncovered of vertices. Our algorithm is
called CC2FS, according to the names of the two
ideas. The experimental results show that, CC2FS
performs much better than some state-of-the-art algorithms in terms of solution quality on a broad
range of MWDS benchmarks