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SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 3 months ago
More Algorithms for All-Pairs Shortest Paths in Weighted Graphs
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...
Timothy M. Chan
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 8 months ago
Linear-Time Algorithms for Geometric Graphs with Sublinearly Many Crossings
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
ALENEX
2010
161views Algorithms» more  ALENEX 2010»
13 years 9 months ago
Route Planning with Flexible Objective Functions
We present the first fast route planning algorithm that answers shortest paths queries for a customizable linear combination of two different metrics, e. g. travel time and energy...
Robert Geisberger, Moritz Kobitzsch, Peter Sanders
STACS
2010
Springer
14 years 3 months ago
Two-phase Algorithms for the Parametric Shortest Path Problem
Abstract. A parametric weighted graph is a graph whose edges are labeled with continuous real functions of a single common variable. For any instantiation of the variable, one obta...
Sourav Chakraborty, Eldar Fischer, Oded Lachish, R...
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 4 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson