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EOR
2006
110views more  EOR 2006»
13 years 7 months ago
A constructive algorithm for realizing a distance matrix
The natural metric of a weighted graph is the length of the shortest paths between all pairs of vertices. The investigated problem consists in a representation of a given metric b...
Sacha C. Varone
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
13 years 9 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
SIROCCO
2010
13 years 9 months ago
Multipath Spanners
Abstract. This paper concerns graph spanners that approximate multipaths between pair of vertices of an undirected graphs with n vertices. Classically, a spanner H of stretch s for...
Cyril Gavoille, Quentin Godfroy, Laurent Viennot
OPODIS
2008
13 years 9 months ago
Graph Augmentation via Metric Embedding
Kleinberg [17] proposed in 2000 the first random graph model achieving to reproduce small world navigability, i.e. the ability to greedily discover polylogarithmic routes between a...
Emmanuelle Lebhar, Nicolas Schabanel
TCS
2010
13 years 6 months ago
A comprehensive analysis of degree based condition for Hamiltonian cycles
— Rahman and Kaykobad introduced a shortest distance based condition for finding the existence of Hamiltonian paths in graphs as follows: Let G be a connected graph with n vertic...
Md. Kamrul Hasan, Mohammad Kaykobad, Young-Koo Lee...