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arXiv · 0906.5106

Multicommodity Flow in Polynomial Time

Raymond Hemmecke·Shmuel Onn·Robert Weismantel
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Abstract

The multicommodity flow problem is NP-hard already for two commodities over bipartite graphs. Nonetheless, using our recent theory of n-fold integer programming and extensions developed herein, we are able to establish the surprising polynomial time solvability of the problem in two broad situations.

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Raymond Hemmecke, Shmuel Onn, Robert Weismantel. 2009-07-13. Multicommodity Flow in Polynomial Time. https://arxiv.org/abs/0906.5106

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