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A Fast Near Optimal Vertex Cover Algorithm (NOVCA)
Sanjaya Gajurel, Roger Bielefeld
Pages - 9 - 18 | Revised - 15-09-2012 | Published - 25-10-2012
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KEYWORDS
Vertex Cover Problem, Combinatorial Problem, NP-Complete Problem, Approximation Algorithm
ABSTRACT
This paper describes an extremely fast polynomial time algorithm, the Near Optimal Vertex Cover Algorithm (NOVCA) that produces an optimal or near optimal vertex cover for any known undirected graph G (V, E). NOVCA is based on the idea of (i) including the vertex having maximum degree in the vertex cover and (ii) rendering the degree of a vertex to zero by including all its adjacent vertices. The two versions of algorithm, NOVCA-I and NOVCA-II, have been developed. The results identifying bounds on the size of the minimum vertex cover as well as polynomial complexity of algorithm are given with experimental verification. Future research efforts will be directed at tuning the algorithm and providing proof for better approximation ratio with NOVCA compared to any other available vertex cover algorithms.
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Dr. Sanjaya Gajurel
Case Western Reserve University - United States of America
sxg125@case.edu
Dr. Roger Bielefeld
Case Western Reserve University - United States of America