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arXiv · 1410.7208

A combinatorial algorithm for the planar multiflow problem with demands located on three holes

Maxim A. Babenko·Alexander V. Karzanov
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Abstract

We consider an undirected multi(commodity)flow demand problem in which a supply graph is planar, each source-sink pair is located on one of three specified faces of the graph, and the capacities and demands are integer-valued and Eulerian. It is known that such a problem has a solution if the cut and (2,3)-metric conditions hold, and that the solvability implies the existence of an integer solution. We develop a purely combinatorial strongly polynomial solution algorithm.

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Maxim A. Babenko, Alexander V. Karzanov. 2014-10-27. A combinatorial algorithm for the planar multiflow problem with demands located on three holes. https://arxiv.org/abs/1410.7208

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