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FOCS
2009
IEEE
13 years 11 months 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
CAD
2004
Springer
13 years 4 months ago
Reduce the stretch in surface flattening by finding cutting paths to the surface boundary
This paper presents a method for finding cutting paths on a 3D triangular mesh surface to reduce the stretch in the flattened surface. The cutting paths link the surface boundary ...
Charlie C. L. Wang, Yu Wang 0010, Kai Tang, Matthe...
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
13 years 11 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
13 years 11 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku
PODC
2006
ACM
13 years 10 months ago
Object location using path separators
We study a novel separator property called k-path separable. Roughly speaking, a k-path separable graph can be recursively separated into smaller components by sequentially removi...
Ittai Abraham, Cyril Gavoille