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Reading group meeting: Maximum flows in one-crossing-minor-free graphs

Time: 1:00pm Tuesday 9 July

Location: SIT 402

Speaker: Karsten Klein, University of Sydney

Paper: “Maximum flows in one-crossing-minor-free graphs” by Chambers and Eppstein

Abstract:

We study the maximum flow problem in directed H-minor-free graphs where H can be drawn in the plane with one crossing. If a structural decomposition of the graph as a clique-sum of planar graphs and graphs of constant complexity is given, we show that a maximum flow can be computed in O(nlogn) time. In particular, maximum flows in directed K 3,3-minor-free graphs and directed K 5-minor-free graphs can be computed in O(nlogn) time without additional assumptions.

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