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STACS
2007
Springer
13 years 11 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth
FOCS
1994
IEEE
13 years 8 months ago
Finding the k Shortest Paths
We describe algorithms for finding the k shortest paths connecting a given pair of vertices in a digraph (allowing cycles). Our algorithms output an implicit representation of the...
David Eppstein
SIROCCO
2001
13 years 6 months ago
Competitive Online Routing in Geometric Graphs
We consider online routing algorithms for finding paths between the vertices of plane graphs. Although it has been shown in Bose et al. [4] that there exists no competitive routin...
Prosenjit Bose, Pat Morin
JAL
2006
175views more  JAL 2006»
13 years 4 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin
COLOGNETWENTE
2008
13 years 6 months ago
A Simple 3-Approximation of Minimum Manhattan Networks
Given a set P of n points in the plane, a Manhattan network of P is a network that contains a rectilinear shortest path between every pair of points of P. A minimum Manhattan netw...
Bernhard Fuchs, Anna Schulze