Approximate Duality of Multicommodity Multiroute Flows and Cuts: Single Source Case
Kolman, Petr
Scheideler, Christian
ddc:040
Given an integer h, a graph G = (V;E) with arbitrary positive edge capacities and k pairs of vertices (s1; t1); (s2; t2); : : : ; (sk; tk), called terminals, an h-route cut is a set F µ E of edges such that after the removal of the edges in F no pair si ¡ ti is connected by h edge-disjoint paths (i.e., the connectivity of every si ¡ ti pair is at most h ¡ 1 in (V;E n F)). The h-route cut is a natural generalization of the classical cut problem for multicommodity °ows (take h = 1). The main result of this paper is an O(h722h log2 k)-approximation algorithm for the minimum h-route cut problem in the case that s1 = s2 = ¢ ¢ ¢ = sk, called the single source case. As a corollary of it we obtain an approximate duality theorem for multiroute multicom-modity °ows and cuts with a single source. This partially answers an open question posted in several previous papers dealing with cuts for multicommodity multiroute problems.
2012
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http://purl.org/coar/resource_type/c_5794
https://ris.uni-paderborn.de/record/632
Kolman P, Scheideler C. Approximate Duality of Multicommodity Multiroute Flows and Cuts: Single Source Case. In: <i>Proceedings of the 23th ACM SIAM Symposium on Discrete Algorithms (SODA)</i>. ; 2012:800-810. doi:<a href="https://doi.org/10.1137/1.9781611973099.64">10.1137/1.9781611973099.64</a>
info:eu-repo/semantics/altIdentifier/doi/10.1137/1.9781611973099.64
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