Computer Science – Data Structures and Algorithms
Scientific paper
2010-09-29
Computer Science
Data Structures and Algorithms
19 pages, 1 figure
Scientific paper
In the {\em capacitated} survivable network design problem (Cap-SNDP), we are given an undirected multi-graph where each edge has a capacity and a cost. The goal is to find a minimum cost subset of edges that satisfies a given set of pairwise minimum-cut requirements. Unlike its classical special case of SNDP when all capacities are unit, the approximability of Cap-SNDP is not well understood; even in very restricted settings no known algorithm achieves a $o(m)$ approximation, where $m$ is the number of edges in the graph. In this paper, we obtain several new results and insights into the approximability of Cap-SNDP.
Chakrabarty Deeparnab
Chekuri Chandra
Khanna Sanjeev
Korula Nitish
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