Title
On the Maximum Independent Set Problem in Subclasses of Planar Graphs
Abstract
The maximum independent set problem is known to be NP-hard in the class of planar graphs. In the present paper, we study its complexity in hereditary subclasses of planar graphs. In particular, by combining various techniques, we show that the problem is polynomially solvable in the class of S1,2,k-free planar graphs, generalizing several previously known results. S1,2,k is the graph consisting of three induced paths of lengths 1, 2 and k, with a common initial vertex.
Year
Venue
Keywords
2010
J. Graph Algorithms Appl.
maximum independent set,planar graph
Field
DocType
Volume
Discrete mathematics,Combinatorics,Indifference graph,Clique-sum,Chordal graph,Independent set,Cograph,Pathwidth,1-planar graph,Mathematics,Maximal independent set
Journal
14
Issue
Citations 
PageRank 
2
10
0.56
References 
Authors
17
3
Name
Order
Citations
PageRank
Vadim Lozin1997.13
Martin Milaniÿc2100.56
Coventry CV3222.87