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 $$Owh^{2w}n$$Owh2wn on an input graph having n vertices and whose treewidth is bounded by a fixed constant w.
Year
DOI
Venue
2018
10.1007/s00453-017-0311-7
Algorithmica
Keywords
DocType
Volume
Edge-deletion,Treewidth,Network epidemiology,Graph contagion
Journal
80
Issue
ISSN
Citations 
6
0178-4617
2
PageRank 
References 
Authors
0.37
13
2
Name
Order
Citations
PageRank
Jessica Enright183.89
Kitty Meeks2448.20