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COMPGEOM
2004
ACM
14 years 25 days ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
COMPGEOM
2000
ACM
13 years 11 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
DAM
2000
199views more  DAM 2000»
13 years 7 months ago
Approximation algorithms for the shortest total path length spanning tree problem
Given an undirected graph with a nonnegative weight on each edge, the shortest total path length spanning tree problem is to
Bang Ye Wu, Kun-Mao Chao, Chuan Yi Tang
DCG
2010
289views more  DCG 2010»
13 years 7 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
13 years 5 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha