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COMPGEOM
2004
ACM
15 years 9 months 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
15 years 8 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
159
Voted
DAM
2000
199views more  DAM 2000»
15 years 3 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»
15 years 4 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»
15 years 2 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