Title
Dynamic monopolies for interval graphs with bounded thresholds.
Abstract
For a graph G and an integer-valued threshold function τ on its vertex set, a dynamic monopoly is a set of vertices of G such that iteratively adding to it vertices u of G that have at least τ(u) neighbors in it eventually yields the vertex set of G. It is known that the problem of finding a dynamic monopoly of minimum order is NP-hard for split graphs. We show that this problem can be solved in polynomial time for interval graphs with bounded threshold functions.
Year
DOI
Venue
2018
10.1016/j.dam.2019.01.022
Discrete Applied Mathematics
Keywords
Field
DocType
Dynamic monopoly,Target set selection,Interval graph
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Chordal graph,Monopoly,Time complexity,Mathematics,Threshold function,Bounded function
Journal
Volume
ISSN
Citations 
260
0166-218X
1
PageRank 
References 
Authors
0.36
11
4
Name
Order
Citations
PageRank
Stéphane Bessy111719.68
Stefan Ehard212.39
Lucia Draque Penso319620.46
Dieter Rautenbach4946138.87