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77
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COCO
2000
Springer
123views Algorithms» more  COCO 2000»
15 years 1 months ago
A Lower Bound for the Shortest Path Problem
We show that the Shortest Path Problem cannot be solved in o(log n) time on an unbounded fan-in PRAM without bit operations using poly(n) processors even when the bit-lengths of t...
Ketan Mulmuley, Pradyut Shah
CORR
2008
Springer
88views Education» more  CORR 2008»
14 years 9 months ago
Lower bounds for distributed markov chain problems
We study the worst-case communication complexity of distributed algorithms computing a path problem based on stationary distributions of random walks in a network G with the caveat...
Rahul Sami, Andy Twigg
78
Voted
HEURISTICS
2002
155views more  HEURISTICS 2002»
14 years 9 months ago
Bounds and Heuristics for the Shortest Capacitated Paths Problem
Given a graph G, the Shortest Capacitated Paths Problem (SCPP) consists of determining a set of paths of least total length, linking given pairs of vertices in G, and satisfying c...
Marie-Christine Costa, Alain Hertz, Michel Mittaz
98
Voted
NETWORKS
2008
14 years 9 months ago
New dynamic programming algorithms for the resource constrained elementary shortest path problem
The resource-constrained elementary shortest path problem arises as a pricing subproblem in branch-and-price algorithms for vehicle routing problems with additional constraints. W...
Giovanni Righini, Matteo Salani
COCOON
1999
Springer
15 years 1 months ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...