A linear time algorithm for the generalized stable set problem on triangulated bidirected graphs

A linear time algorithm for the generalized stable set problem on triangulated bidirected graphs

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Article ID: iaor2001986
Country: Japan
Volume: 43
Issue: 1
Start Page Number: 162
End Page Number: 175
Publication Date: Mar 2000
Journal: Journal of the Operations Research Society of Japan
Authors: ,
Keywords: graphs, programming: integer, programming: linear
Abstract:

The generalized stable set problem is an extension of the maximum weight stable set problem for undirected graphs to bidirected graphs. This paper shows that the problem on triangulated bidirected graphs is solvable in linear time. We also propose an exact branch and bound algorithm for the general problem by applying the linear time algorithm.

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