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» Computing shortest paths for any number of hops
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COMPGEOM
1998
ACM
15 years 6 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
JSA
2000
116views more  JSA 2000»
15 years 1 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...
111
Voted
SIAMCOMP
2008
137views more  SIAMCOMP 2008»
15 years 1 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...
87
Voted
STACS
2010
Springer
15 years 8 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...
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
15 years 8 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