Conference Papers
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Item Comparative analysis of Vertex Cover computation algorithms for varied graphs(Institute of Electrical and Electronics Engineers Inc., 2014) Patel, S.; Kamath S․, S.There are several vertex cover algorithms proposed for the solution of well-known NP-complete class problem of computing vertex cover. The Vertex Cover problem is important to address as it has various real world applications viz. Wireless Communication Network, Airline Communication Network, Terrorist Communication Network, etc. In this paper, we present a comparative evaluation of different existing algorithms like approximation, list, greedy and Alom's for most efficiently computing vertex cover over a variety of large graphs. Our empirical study found that Alom's algorithm performs consistently better than the other algorithms for all types of graphs, regardless of their class and number of vertices in the graph, while approximation algorithms show the worst performance for very large graphs. © 2014 IEEE.Item Improved approximation algorithm for vertex cover problem using articulation points(Institute of Electrical and Electronics Engineers Inc., 2014) Patel, S.; Kamath S․, S.There has been many vertex cover algorithms proposed for the solution of well-known NP-complete class problem of vertex cover. The Vertex Cover problem is important to address in graphs as it has various real world applications viz. Wireless Communication Network, Airline Communication Network, Terrorist Communication Network etc. In this paper, we propose a new algorithm based on Articulation Point, which reduces the vertex cover computation problem in polynomial time and yield solution nearer to an optimal solution, better than the classical approach. We also present a Graphical Visualization Tool that allows the automatic application of the Improved Articulation Point based Approximation Algorithm to process large graphs and finds their articulation points for minimal vertex cover computation. The tool is currently under development.