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» Computing shortest paths for any number of hops
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110
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COMPGEOM
1998
ACM
15 years 3 months ago
Constructing Approximate Shortest Path Maps in Three Dimensions
We present a new technique for constructing a data-structure that approximates shortest path maps in IRd . By applying this technique, we get the following two results on approxim...
Sariel Har-Peled
95
Voted
JSA
2000
116views more  JSA 2000»
14 years 11 months ago
A fault tolerant routing algorithm based on cube algebra for hypercube systems
We propose an approach to determine the shortest path between the source and the destination nodes in a faulty or a nonfaulty hypercube. The number of faulty nodes and links may b...
Novruz M. Allahverdi, Sirzad S. Kahramanli, Kayhan...
SIAMCOMP
2008
137views more  SIAMCOMP 2008»
14 years 11 months ago
Approximate Shortest Paths in Anisotropic Regions
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
STACS
2010
Springer
15 years 6 months ago
Two-phase Algorithms for the Parametric Shortest Path Problem
Abstract. A parametric weighted graph is a graph whose edges are labeled with continuous real functions of a single common variable. For any instantiation of the variable, one obta...
Sourav Chakraborty, Eldar Fischer, Oded Lachish, R...
91
Voted
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
15 years 5 months ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer