|Appears in Collections:||Computing Science and Mathematics Conference Papers and Proceedings|
|Peer Review Status:||Refereed|
|Title:||Deleting Edges to Restrict the Size of an Epidemic: A New Application for Treewidth|
|Citation:||Enright J & Meeks K (2015) Deleting Edges to Restrict the Size of an Epidemic: A New Application for Treewidth In: 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, Cham, Switzerland: Springer. Combinatorial Optimization and Applications - 9th International Conference, 18.12.2015 - 20.12.2015, Houston, Texas, pp. 574-585.|
|Series/Report no.:||Lecture Notes in Computer Science, 0302-9743|
|Conference Name:||Combinatorial Optimization and Applications - 9th International Conference|
|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.|
|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 http://dx.doi.org/10.1007/978-3-319-26626-8_42|
|Affiliation:||Mathematics - CSM Dept|
University of Glasgow
|EnrightMeeksCOCOA2015_final.pdf||327.65 kB||Adobe PDF||View/Open|
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