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All Pairs Shortest Paths Algorithms
, 1999
"... There are many algorithms for the all pairs shortest path problem, depending on variations of the problem. The simplest version takes only the size of vertex set as a parameter. As additional parameters, other problems specify the number of edges and/or the maximum value of edge costs. In this ..."
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There are many algorithms for the all pairs shortest path problem, depending on variations of the problem. The simplest version takes only the size of vertex set as a parameter. As additional parameters, other problems specify the number of edges and/or the maximum value of edge costs. In this
ALL PAIRS SHORTEST PATHS ALGORITHMS
"... Given a communication network or a road network one of the most natural algorithmic question is how to determine the shortest path from one point to another. In this paper we deal with one of the most fundamental problems of Graph Theory, the All Pairs Shortest Path (APSP) problem. We study three al ..."
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Given a communication network or a road network one of the most natural algorithmic question is how to determine the shortest path from one point to another. In this paper we deal with one of the most fundamental problems of Graph Theory, the All Pairs Shortest Path (APSP) problem. We study three
On the Quantum Query Complexity of AllPairs Shortest Paths
"... We show lower bounds for the quantum query complexity of the allpairs shortest paths problem (APSP) for nonnegatively weighted directed graphs (digraphs), both in the adjacency matrix model and in an adja ..."
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Cited by 1 (0 self)
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We show lower bounds for the quantum query complexity of the allpairs shortest paths problem (APSP) for nonnegatively weighted directed graphs (digraphs), both in the adjacency matrix model and in an adja
Hardware/Software Codesign for AllPairs Shortest Paths on a Reconfigurable Supercomputer
, 2006
"... Hardware/Software Codesign for AllPairs ShortestPaths on a ReconfigurableSupercomputer ..."
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Cited by 2 (2 self)
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Hardware/Software Codesign for AllPairs ShortestPaths on a ReconfigurableSupercomputer
On the AllPairs ShortestPath Algorithm Of Moffat and Takaoka
, 1997
"... We review how to solve the allpairs shortestpath problem in a nonnegatively Ž 2 weighted digraph with n vertices in expected time On log n.. This bound is shown to hold with high probability for a wide class of probability distributions on nonnegatively weighted digraphs. We also prove that, for ..."
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Cited by 14 (4 self)
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We review how to solve the allpairs shortestpath problem in a nonnegatively Ž 2 weighted digraph with n vertices in expected time On log n.. This bound is shown to hold with high probability for a wide class of probability distributions on nonnegatively weighted digraphs. We also prove that
On the ComparisonAddition Complexity of AllPairs Shortest Paths
 In Proc. 13th Int'l Symp. on Algorithms and Computation (ISAAC'02
, 2002
"... We present an allpairs shortest path algorithm for arbitrary graphs that performs O(mn log (m; n)) comparison and addition operations, where m and n are the number of edges and vertices, resp., and is Tarjan's inverseAckermann function. Our algorithm eliminates the sorting bottleneck inherent ..."
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Cited by 10 (6 self)
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We present an allpairs shortest path algorithm for arbitrary graphs that performs O(mn log (m; n)) comparison and addition operations, where m and n are the number of edges and vertices, resp., and is Tarjan's inverseAckermann function. Our algorithm eliminates the sorting bottleneck
AllPairs Shortest Paths and the Essential Subgraph
, 1995
"... The essential subgraph H of a weighted graph or digraph G contains an edge (v, w) if that edge is uniquely the leastcost path between its vertices. Let s denote the number of edges of H. This paper presents an algorithm for solving allpairs shortest paths on G that requires O(ns + n 2 log n) wor ..."
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Cited by 16 (2 self)
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The essential subgraph H of a weighted graph or digraph G contains an edge (v, w) if that edge is uniquely the leastcost path between its vertices. Let s denote the number of edges of H. This paper presents an algorithm for solving allpairs shortest paths on G that requires O(ns + n 2 log n
Program Generation for the AllPairs Shortest Path Problem
, 2006
"... A recent trend in computing are domainspecific program generators, designed to alleviate the effort of porting and reoptimizing libraries for fastchanging and increasingly complex computing platforms. Examples include ATLAS, SPIRAL, and the codelet generator in FFTW. Each of these generators prod ..."
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Cited by 13 (0 self)
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produces highly optimized source code directly from a problem specification. In this paper, we extend this list by a program generator for the wellknown FloydWarshall (FW) algorithm that solves the allpairs shortest path problem, which is important in a wide range of engineering applications
An Improved Algorithm for Finding All Pair Shortest Path
"... Floyd Warshall‘s Algorithm is a simple and widely used algorithm to compute shortest path between all pairs of vertices in an edge weighted directed graph. It can also be used to detect the presence of negative cycles. Many researchers have given many other approaches for finding all pair shortest p ..."
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Floyd Warshall‘s Algorithm is a simple and widely used algorithm to compute shortest path between all pairs of vertices in an edge weighted directed graph. It can also be used to detect the presence of negative cycles. Many researchers have given many other approaches for finding all pair shortest
1 Algorithms of All Pair Shortest Path Problem
"... This paper is based on survey of various algorithms for all pair shortest path problem (APSP) on arbitrary real weighted directed graphs.This paper has summarized existing methods for solving shortestpath problems. In particular, we have addressed both sequential and parallel algorithms. We begin w ..."
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This paper is based on survey of various algorithms for all pair shortest path problem (APSP) on arbitrary real weighted directed graphs.This paper has summarized existing methods for solving shortestpath problems. In particular, we have addressed both sequential and parallel algorithms. We begin
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