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» Computing approximate shortest paths on convex polytopes
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CCE
2004
13 years 6 months ago
Computational studies using a novel simplicial-approximation based algorithm for MINLP optimization
Significant advances have been made in the last two decades for the effective solution of mixed integer non-linear programming (MINLP) problems, mainly by exploiting the special s...
Vishal Goyal, Marianthi G. Ierapetritou
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
DCG
2010
289views more  DCG 2010»
13 years 6 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...
CORR
2010
Springer
113views Education» more  CORR 2010»
13 years 6 months ago
Opaque sets
The problem of finding "small" sets that meet every straight-line which intersects a given convex region was initiated by Mazurkiewicz in 1916. We call such a set an opa...
Adrian Dumitrescu, János Pach
TON
2008
125views more  TON 2008»
13 years 6 months ago
Two techniques for fast computation of constrained shortest paths
Abstract-- Computing constrained shortest paths is fundamental to some important network functions such as QoS routing, which is to find the cheapest path that satisfies certain co...
Shigang Chen, Meongchul Song, Sartaj Sahni