Different formulations for solving the heaviest k-subgraph problem

Different formulations for solving the heaviest k-subgraph problem

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Article ID: iaor2006940
Country: Canada
Volume: 43
Issue: 3
Start Page Number: 171
End Page Number: 186
Publication Date: Aug 2005
Journal: INFOR
Authors:
Keywords: programming: integer, programming: linear
Abstract:

We consider the heaviest k-subgraph problem (HSP), i.e. determine a block of k nodes of a weighted graph (of n nodes) such that the total edge weight within the subgraph induced by the block is maximized. The aim of the paper is to show what can be expected from mixed-integer linear programming for solving this problem. We compare from a theoretical and practical point of view of different MP formulations of HSP. Computational experiments when the weight of each edge is equal to 1 are reported. They show that the MIP approach is particularly efficient for dense instances.

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