Affiliation:
1. University of Florida, Gainesville, FL, USA
Abstract
Motivated by networked systems in which the functionality of the network depends on vertices in the network being within a bounded distance T of each other, we study the length-bounded multicut problem: given a set of pairs, find a minimum-size set of edges whose removal ensures the distance between each pair exceeds T . We introduce the first algorithms for this problem capable of scaling to massive networks with billions of edges and nodes: three highly scalable algorithms with worst-case performance ratios. Furthermore, one of our algorithms is fully dynamic, capable of updating its solution upon incremental vertex / edge additions or removals from the network while maintaining its performance ratio. Finally, we show that unless NP ⊆ BPP, there is no polynomial-time, approximation algorithm with performance ratio better than Omega (T), which matches the ratio of our dynamic algorithm up to a constant factor.
Funder
Defense Threat Reduction Agency
National Science Foundation
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Networks and Communications,Hardware and Architecture,Software
Reference13 articles.
1. Length-bounded cuts and flows
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5. Euiwoong Lee. {n. d.}. Improved Hardness for Cut Interdiction and Firefighter Problems. Arxiv preprint arxiv:1607.05133v1 ({n. d.}). arXiv:arXiv:1607.05133v1 Euiwoong Lee. {n. d.}. Improved Hardness for Cut Interdiction and Firefighter Problems. Arxiv preprint arxiv:1607.05133v1 ({n. d.}). arXiv:arXiv:1607.05133v1