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Variable neighborhood search for the heaviest \(k\)-subgraph. (English) Zbl 1162.90540
Summary: This paper presents a variable neighborhood search (VNS) heuristic for solving the heaviest \(k\)-subgraph problem. Different versions of the heuristic are examined including ‘skewed’ VNS and a combination of a constructive heuristic followed by VNS. Extensive computational experiments are performed on a series of large random graphs as well as several instances of the related maximum diversity problem taken from the literature. The results obtained by VNS were consistently the best over a number of other heuristics tested.

MSC:
90C27 Combinatorial optimization
90C35 Programming involving graphs or networks
90B10 Deterministic network models in operations research
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