Title
The complexity of connected dominating sets and total dominating sets with specified induced subgraphs
Abstract
Given a graph class G, it is natural to ask (i) whether a given graph G has a connected or a total dominating set whose induced subgraph is a member of G and (ii) whether G has such a set of cardinality at most a given threshold. We give sufficient conditions on G under which these two problems are NP-hard. This condition is fulfilled in a wide variety of classes of graphs.
Year
DOI
Venue
2012
10.1016/j.ipl.2012.09.002
Inf. Process. Lett.
Keywords
Field
DocType
sufficient condition,wide variety,induced subgraph,connected dominating set,graph g,graph class g,total dominating set,specified induced subgraphs,computational complexity
Connected domination,Discrete mathematics,Graph,Combinatorics,Dominating set,Ask price,Induced subgraph,Cardinality,Connected dominating set,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
112
24
0020-0190
Citations 
PageRank 
References 
7
0.47
12
Authors
2
Name
Order
Citations
PageRank
Oliver Schaudt19521.74
Rainer Schrader270.47