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A derandomized approximation algorithm for the critical node detection problem

delete2014-03-01
delete45
PRE
AI
M
Mario Ventresca *
D
Dionne M. Aleman
DOI:10.1016/j.cor.2013.09.012delete
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摘要

摘要

En 中文
In this paper we propose an efficient approximation algorithm for determining solutions to the critical node detection problem (CNDP) on unweighted and undirected graphs. Given a user-defined number of vertices k > 0, the problem is to determine which k nodes to remove such as to minimize pairwise connectivity in the induced subgraph. We present a simple, yet powerful, algorithm that is derived from a randomized rounding of the relaxed linear programming solution to the CNDP. We prove that the expected solution quality obtained by the linear-time algorithm is bounded by a constant. To highlight the algorithm quality four common complex network models are utilized, in addition to four real-world networks. (C) 2013 Elsevier Ltd. All rights reserved.
Keyword:
Critical node detection problem
Randomized rounding
Complex network
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期刊

C
Computers and Operations Research
IF:
4.3
论文数:
6.5K
被引数:
1.8W

机构

U
university of toronto
学者数:
14.7W
论文数: 12.0W
被引数: 165
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