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Appears in Collections:Computing Science and Mathematics Conference Papers and Proceedings
Peer Review Status: Refereed
Authors: Enright, Jessica
Meeks, Kitty
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Title: Deleting Edges to Restrict the Size of an Epidemic: A New Application for Treewidth
Editors: Lu, Z
Kim, D
Wu, W
Li, W
Du, D-Z
Citation: Enright J & Meeks K (2015) Deleting Edges to Restrict the Size of an Epidemic: A New Application for Treewidth, Lu Z, Kim D, Wu W, Li W, Du D-Z (ed.) Combinatorial Optimization and Applications: 9th International Conference, COCOA 2015, Houston, TX, USA, December 18-20, 2015, Proceedings, Combinatorial Optimization and Applications - 9th International Conference, Houston, Texas, 18.12.2015 - 20.12.2015, Cham, Switzerland: Springer, pp. 574-585.
Issue Date: 2015
Series/Report no.: Lecture Notes in Computer Science, 0302-9743
Conference Name: Combinatorial Optimization and Applications - 9th International Conference
Conference Dates: 2015-12-18T00:00:00Z
Conference Location: Houston, Texas
Abstract: Motivated by applications in network epidemiology, we consider the problem of determining whether it is possible to delete at most k edges from a given input graph (of small treewidth) so that the maximum component size in the resulting graph is at most h. While this problem is NP-complete in general, we provide evidence that many of the real-world networks of interest are likely to have small treewidth, and we describe an algorithm which solves the problem in time O((wh)2wn) on an input graph having n vertices and whose treewidth is bounded by a fixed constant w.
Type: Conference Paper
Status: Book Chapter: author post-print (pre-copy editing)
Rights: Publisher policy allows this work to be made available in this repository; The final publication is available at Springer via
Affiliation: Mathematics - CSM Dept
University of Glasgow

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