A Polynomial Time Algorithm for Longest Paths in Biconvex Graphs
The longest path problem is the problem of finding a simple path of maximum length in a graph. Polynomial solutions for this problem are known only for special classes of graphs, while it is NP-hard on general graphs. In this paper we are proposing a O(n6) time algorithm to find the longest path on biconvex graphs, where n is the number of vertices of the input graph. We have used Dynamic Programming approach.
KeywordsLongest path problem biconvex graphs polynomial algorithm complexity dynamic programming
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