Title
An NC algorithm for the clique cover problem in cocomparability graphs and its application
Abstract
In this paper, we present an extremely simple NC algorithm for finding a minimum clique cover in a cocomparability graph. Our algorithm takes O(log n) time using O(n(3+epsilon)) processors on the CRCW PRAM, where n is the number of vertices. It is also shown that this algorithm can be applied to solve in parallel the depth-first search problem for permutation graphs. The best known DFS algorithm for the permutation graphs runs in O(log(2) n) time on a CRCW PRAM model.
Year
DOI
Venue
1996
10.1016/0020-0190(95)00206-5
Inf. Process. Lett.
Keywords
Field
DocType
cocomparability graph,nc algorithm,clique cover problem,depth first search,permutation graph
Graph theory,Permutation graph,Discrete mathematics,Combinatorics,Vertex (geometry),Chordal graph,Permutation,Breadth-first search,Algorithm,Clique cover,Clique (graph theory),Mathematics
Journal
Volume
Issue
ISSN
57
5
0020-0190
Citations 
PageRank 
References 
1
0.40
5
Authors
2
Name
Order
Citations
PageRank
Chongkye Rhee1203.39
Y. Daniel Liang215314.93