2004 | OriginalPaper | Chapter
A Capacity Scaling Algorithm for M-convex Submodular Flow
Authors : Satoru Iwata, Satoko Moriguchi, Kazuo Murota
Published in: Integer Programming and Combinatorial Optimization
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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This paper presents a faster algorithm for the M-convex submodular flow problem, which is a generalization of the minimum-cost flow problem with an M-convex cost function for the flow-boundary, where an M-convex function is a nonlinear nonseparable discrete convex function on integer points. The algorithm extends the capacity scaling approach for the submodular flow problem by Fleischer, Iwata and McCormick (2002) with the aid of a novel technique of changing the potential by solving maximum submodular flow problems.