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SOFSEM
2009
Springer
14 years 6 months ago
The Shortcut Problem - Complexity and Approximation
During the last years, speed-up techniques for DIJKSTRA’s algorithm have been developed that make the computation of shortest paths a matter of microseconds even on huge road net...
Reinhard Bauer, Gianlorenzo D'Angelo, Daniel Delli...
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 10 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
COSIT
2003
Springer
132views GIS» more  COSIT 2003»
14 years 2 months ago
"Simplest" Paths: Automated Route Selection for Navigation
Numerous cognitive studies have indicated that the form and complexity of route instructions may be as important to human navigators as the overall length of route. Most automated ...
Matt Duckham, Lars Kulik
GD
2009
Springer
14 years 2 months ago
Fast Edge-Routing for Large Graphs
To produce high quality drawings of graphs with nodes drawn as shapes it is important to find routes for the edges which do not intersect node boundaries. Recent work in this area...
Tim Dwyer, Lev Nachmanson
SIAMCOMP
1998
124views more  SIAMCOMP 1998»
13 years 9 months ago
Near-Linear Time Construction of Sparse Neighborhood Covers
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...