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An Optimal Algorithm to Solve the All-Pairs Shortest Paths Problem on Permutation Graphs
Authors:Sukumar Mondal  Madhumangal Pal  Tapan K. Pal
Affiliation:(1) Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-, 721 102, India
Abstract:In this paper we present an optimal algorithm to solve the all-pairs shortest path problem on permutation graphs with n vertices and m edges which runs in O(n2) time. Using this algorithm, the average distance of a permutation graph can also be computed in O(n2) time.
Keywords:design of algorithms  analysis of algorithms  shortest paths  average distance  permutation graphs
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