Title
Deleting Edges To Restrict The Size Of An Epidemic: A New Application For Treewidth
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)(2w)n) on an input graph having n vertices and whose treewidth is bounded by a fixed constant w.
Year
DOI
Venue
2015
10.1007/978-3-319-26626-8_42
COMBINATORIAL OPTIMIZATION AND APPLICATIONS, (COCOA 2015)
Field
DocType
Volume
Discrete mathematics,Combinatorics,Tree-depth,Partial k-tree,Computer science,Tree decomposition,Clique-sum,Clique-width,Treewidth,Graph minor,1-planar graph
Journal
9486
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
8
2
Name
Order
Citations
PageRank
Jessica Enright183.89
Kitty Meeks2102.25