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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
On the exponent of the all pairs shortest path problem
"... The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, the exponent of the algorithms known for the all pairs shortest path problem has stayed at three all these years even for t ..."
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Cited by 86 (2 self)
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The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, the exponent of the algorithms known for the all pairs shortest path problem has stayed at three all these years even
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
A Computational Study Of Parallel Algorithms For The AllPairs Shortest Path Problem
, 1994
"... This paper presents experiences from the implementation of parallel algorithms for the allpairs shortest path problem. A brief survey of the problem is given and efficient techniques for exploiting the memory hierarchy of parallel computers are described. Comparing the algorithms at a practical ..."
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Cited by 1 (1 self)
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This paper presents experiences from the implementation of parallel algorithms for the allpairs shortest path problem. A brief survey of the problem is given and efficient techniques for exploiting the memory hierarchy of parallel computers are described. Comparing the algorithms at a practical
A Symbolic Approach to the AllPairs ShortestPaths Problem
 In WG 2004, LNCS 3353
, 2004
"... Abstract. Graphs can be represented symbolically by the Ordered Binary Decision Diagram (OBDD) of their characteristic function. To solve problems in such implicitly given graphs, specialized symbolic algorithms are needed which are restricted to the use of functional operations offered by the OBDD ..."
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Cited by 9 (5 self)
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data structure. In this paper, a symbolic algorithm for the allpairs shortestpaths (APSP) problem in loopless directed graphs with strictly positive integral edge weights is presented. It requires Θ ( log 2 (NB) ) OBDDoperations to obtain the lengths and edges of all shortest paths in graphs with N
Subcubic Cost Algorithms for the All Pairs Shortest Path Problem
 Algorithmica
, 1995
"... . In this paper we give three subcubic cost algorithms for the all pairs shortest distance (APSD) and path (APSP) problems. The first is a parallel algorithm that solves the APSD problem for a directed graph with unit edge costs in O(log 2 n) time with O(n ffi p log n) processors where = 2:68 ..."
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Cited by 24 (5 self)
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. In this paper we give three subcubic cost algorithms for the all pairs shortest distance (APSD) and path (APSP) problems. The first is a parallel algorithm that solves the APSD problem for a directed graph with unit edge costs in O(log 2 n) time with O(n ffi p log n) processors where = 2
Scalability of parallel algorithms for the allpairs shortest path problem
 in the Proceedings of the International Conference on Parallel Processing
, 1991
"... Abstract This paper uses the isoefficiency metric to analyze the scalability of several parallel algorithms for finding shortest paths between all pairs of nodes in a densely connected graph. Parallel algorithms analyzed in this paper have either been previously presented elsewhere or are small vari ..."
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Cited by 39 (14 self)
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Abstract This paper uses the isoefficiency metric to analyze the scalability of several parallel algorithms for finding shortest paths between all pairs of nodes in a densely connected graph. Parallel algorithms analyzed in this paper have either been previously presented elsewhere or are small
An O(n 3 log log n / log n) Time Algorithm for the AllPairs Shortest Path Problem
, 2004
"... We design a faster algorithm for the allpairs shortest path problem under the conventional RAM model, based on distance matrix multiplication (DMM). Specifically we improve the best known time complexity of O(n 3 (log log n) 2 / log n) to O(n 3 log log n / log n). As an application, we show the km ..."
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Cited by 6 (2 self)
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We design a faster algorithm for the allpairs shortest path problem under the conventional RAM model, based on distance matrix multiplication (DMM). Specifically we improve the best known time complexity of O(n 3 (log log n) 2 / log n) to O(n 3 log log n / log n). As an application, we show the k
AN OPTIMAL PARALLEL ALGORITHM FOR SOLVING ALLPAIRS SHORTEST PATHS PROBLEM ON CIRCULARARC GRAPHS
"... Abstract. The shortestpaths problem is a fundamental problem in graph theory and finds diverse applications in various fields. This is why shortest path algorithms have been designed more thoroughly than any other algorithm in graph theory. A large number of optimization problems are mathematicall ..."
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Cited by 1 (0 self)
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. This paper presents an O(n2) time sequential algorithm and an O(n2/p + log n) time parallel algorithm on EREW PRAM model for solving all pairs shortest paths problem on circulararc graphs, where p and n represent respectively the number of processors and the number of vertices of the circulararc graph.
Results 1  10
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