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» A Lower Bound for the Shortest Path Problem
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COCO
2000
Springer
123views Algorithms» more  COCO 2000»
14 years 27 days 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»
13 years 8 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
HEURISTICS
2002
155views more  HEURISTICS 2002»
13 years 8 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
NETWORKS
2008
13 years 8 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
14 years 25 days 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...