Graph theoretic relaxations of set covering and set partitioning problems

Graph theoretic relaxations of set covering and set partitioning problems

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Article ID: iaor19981984
Country: Netherlands
Volume: 87
Issue: 1
Start Page Number: 109
End Page Number: 121
Publication Date: Nov 1995
Journal: European Journal of Operational Research
Authors: ,
Keywords: networks: path
Abstract:

In this paper we review the graph theoretic relaxations of the set covering problem and the set partitioning problem. These are: a network relaxation which can be solved by the greedy method, a matching relaxation and a graph covering relaxation. Other relaxations such as assignment, shortest route and minimum spanning tree are also presented.

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