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DCG
2010
289views more  DCG 2010»
13 years 5 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
2000
125views more  SIAMCOMP 2000»
13 years 5 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
CIKM
2010
Springer
13 years 4 months ago
Fast and accurate estimation of shortest paths in large graphs
Computing shortest paths between two given nodes is a fundamental operation over graphs, but known to be nontrivial over large disk-resident instances of graph data. While a numbe...
Andrey Gubichev, Srikanta J. Bedathur, Stephan Seu...
SODA
2003
ACM
106views Algorithms» more  SODA 2003»
13 years 6 months ago
Maintaining all-pairs approximate shortest paths under deletion of edges
We present a hierarchical scheme for efficiently maintaining all-pairs approximate shortest-paths in undirected unweighted graphs under deletions of edges. An α-approximate short...
Surender Baswana, Ramesh Hariharan, Sandeep Sen
FOCS
2009
IEEE
14 years 4 days ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu