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arXiv · 2001.01715

An Approximation Algorithm for Fully Planar Edge-Disjoint Paths

Chien-Chung Huang·Mathieu Mari·Claire Mathieu·Kevin Schewior·Jens Vygen
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Abstract

We devise a constant-factor approximation algorithm for the maximization version of the edge-disjoint paths problem if the supply graph together with the demand edges form a planar graph. By planar duality this is equivalent to packing cuts in a planar graph such that each cut contains exactly one demand edge. We also show that the natural linear programming relaxations have constant integrality gap, yielding an approximate max-multiflow min-multicut theorem.

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Chien-Chung Huang, Mathieu Mari, Claire Mathieu, Kevin Schewior, Jens Vygen. 2020-01-06. An Approximation Algorithm for Fully Planar Edge-Disjoint Paths. https://doi.org/10.1137/20m1319401

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