Computer Science – Data Structures and Algorithms
Scientific paper
2009-08-29
Computer Science
Data Structures and Algorithms
13 pages, 5 figures. Preliminary version appeared in AAIM 2009
Scientific paper
In the Flow Edge-Monitor Problem, we are given an undirected graph G=(V,E), an integer k > 0 and some unknown circulation \psi on G. We want to find a set of k edges in G, so that if we place k monitors on those edges to measure the flow along them, the total number of edges for which the flow can be uniquely determined is maximized. In this paper, we first show that the Flow Edge-Monitor Problem is NP-hard, and then we give two approximation algorithms: a 3-approximation algorithm with running time O((m+n)^2) and a 2-approximation algorithm with running time O((m+n)^3), where n = |V| and m=|E|.
Chin Francis
Chrobak Marek
Yan Lihong
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