Title
A linear time algorithm to compute a dominating path in an AT-free graph
Abstract
An independent set fx; y; zg is called an asteroidal triple if between any pair in thetriple there exists a path that avoids the neighborhood of the third. A graph is referredto as AT-free if it does not contain an asteroidal triple. We present a simple linear-timealgorithm to compute a dominating path in a connected AT-free graph.Keywords. asteroidal triple-free graphs, domination, algorithms1 IntroductionA number of families of graphs including interval graphs [10], permutation...
Year
DOI
Venue
1995
10.1016/0020-0190(95)00021-4
Inf. Process. Lett.
Keywords
Field
DocType
linear time algorithm,at-free graph,dominating path,independent set,interval graph,algorithms
Strength of a graph,Discrete mathematics,Dominating set,Combinatorics,Line graph,Cubic graph,Algorithm,Distance-hereditary graph,Mathematics,Voltage graph,Path graph,Complement graph
Journal
Volume
Issue
ISSN
54
5
0020-0190
Citations 
PageRank 
References 
17
1.81
4
Authors
3
Name
Order
Citations
PageRank
Derek G. Corneil11397218.67
Stephan Olariu22252166.46
Lorna Stewart336128.05