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A Combinatorial Algorithm for the Planar Multiflow Problem with Demands Located on Three Holes

P. 53–66.
Babenko M. A., Karzanov A.
In press

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.

Language: English
Keywords: Дискретная математика и комбинаторика Discrete Algorithms

In book

Computer Science -- Theory and Applications 10th International Computer Science Symposium in Russia, CSR 2015
Vol. 9139. , Springer, 2015.
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