Tadao T. Sharing information for the all pairs shortest path problem. Theoretical Computer Science, Vol. 520(6), pp. 43-50. 2014.Tadao;Takaoka.Sharing information for the all pairs shortest path problem.Theoretical Computer Science.2013Takaoka, T.: Sharing information for the all pairs shortest...
ProgramGenerationforthe All-PairsShortestPathProblem Sung-ChulHan,FranzFranchetti,andMarkusP¨uschel ElectricalandComputerEngineering,CarnegieMellonUniversityPittsburgh,PA15213 {sungh,franzf,pueschel}@ece.cmu.edu ABSTRACT Arecenttrendincomputingaredomain-specificprogram generators,designedtoalleviatetheeffor...
The best known expected time for the all pairs shortest path problem on a directed graph with non-negative edge costs is O(n 2logn) by Moffat and Takaoka. Let the solution set be the set of vertices to which the given algorithm has so far established shortest paths. The Moffat-...
We design a faster algorithm for the all-pairs shortest path problem under the RAM model, based on distance matrix multiplication (DMM). Specifically we improve the best known time complexity of O(n 3(loglog n/log n)1/2) to T(n)=O(n 3(loglog n)2/log n). We extend the algorithm...
There has been a great deal of interest in the computation of distances and shortest paths problem in graphs which is one of the central, and most studied, problems in (algorithmic) graph theory. In this paper, we survey the exact results of the static version of the all-pairs shortest pa...
We review how to solve the all-pairs shortest path problem in a non-negatively weighted digraph with n vertices in expected time O(n 2 log n). This bound is shown to hold with high probability for a wide class of probability distributions on non-negatively weighted digraphs. We also prove...
A mean-time comparison of the algorithms of Floyd, Dantzig, Tabourier, and of repeated application of several single-source algorithms, for the all-pairs shortest-path problem with arbitrary arc lengths clearly demonstrates the superiority of the Tabourier procedure for networks in which an average...
We review how to solve the all-pairs shortest-path problem in a nonnegatively weighted digraph with n vertices in expected time O(n2 log n). This bound is shown to hold with high probability for a wide class of probability distributions on nonnegatively weighted digraphs. We also...
[6] gave an O(k2m+kn2+APSP) algorithm for this problem, where APSP stands for the time complexity of the All-Pairs Shortest Paths problem in an undirected graph with n nodes and m edges. Closer inspection shows that their algorithm only requires the shortest-path distances between the k ...
The 25th Workshop on Combinatorial Mathematics and Computation Theory The Weighted All-Pairs-Shortest-Path-Length Problem on Two-Terminal Series-Parallel G... 25th Workshop on Combinatorial Mathematics and Computation Theory The Weighted All-Pairs-Shortest-Path-Length Problem on Two-Terminal Series-Para...