Submodular linear programs on forests

Submodular linear programs on forests

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Article ID: iaor19972104
Country: Netherlands
Volume: 72
Issue: 2
Start Page Number: 195
End Page Number: 206
Publication Date: Feb 1996
Journal: Mathematical Programming (Series A)
Authors: ,
Abstract:

A general linear programming model for an order-theoretic analysis of both Edmonds’ greedy algorithm for matroids and the NW-corner rule for transportation problems with Monge costs is introduced. This approach includes the model of Queyranne, Spieksma and Tardella as a special case. The authors solve the problem by optimal greedy algorithms for rooted forests as underlying structures. Other solvable cases are also discussed.

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