Title
Generation of maximum independent sets of a bipartite graph and maximum cliques of a circular-arc graph
Abstract
We present an efficient algorithm for generating all maximum independent sets of a bipartite graph. Its time complexity is O(n2.5 + (output size)), where n is the number of vertices of a given graph. As its application, we develop an algorithm for generating all maximum cliques of a circular-arc graph. When the graph is given in the form of a family of n arcs on a circle, this algorithm runs in O(n3.5 + (output size)) time.
Year
DOI
Venue
1992
10.1016/0196-6774(92)90012-2
J. Algorithms
Keywords
Field
DocType
maximum independent set,bipartite graph,circular-arc graph,maximum clique,technical report
Discrete mathematics,Combinatorics,Circulant graph,Line graph,Edge-transitive graph,Cubic graph,Simplex graph,Factor-critical graph,Mathematics,Voltage graph,Intersection number (graph theory)
Journal
Volume
Issue
ISSN
13
1
0196-6774
Citations 
PageRank 
References 
12
1.77
8
Authors
4
Name
Order
Citations
PageRank
Toshinobu Kashiwabara110616.79
Sumio Masuda215020.26
Kazuo Nakajima3406.09
Toshio Fujisawa49215.13