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» Computing approximate shortest paths on convex polytopes
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CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 7 months ago
Approximation Algorithms for Shortest Descending Paths in Terrains
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Sandip Das, Sachin Lodha, Anna Lubiw...
TCOS
2010
13 years 6 months ago
Approximate Shortest Path Queries Using Voronoi Duals
We propose an approximation method to answer point-to-point shortest path queries in undirected edge-weighted graphs, based on random sampling and Voronoi duals. We compute a simp...
Shinichi Honiden, Michael E. Houle, Christian Somm...
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 1 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
14 years 1 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
CCCG
2006
13 years 9 months ago
Shortest Descending Paths through Given Faces
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Anna Lubiw