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SIROCCO
2001
13 years 9 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
SIAMDM
1998
55views more  SIAMDM 1998»
13 years 7 months ago
Multiple Capacity Vehicle Routing on Paths
Consider the problem of transporting a set of objects between the vertices of a simple graph by a vehicle that traverses the edges of the graph. The problem of finding a shortest...
D. J. Guan, Xuding Zhu
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
14 years 1 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 1 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
PC
2010
196views Management» more  PC 2010»
13 years 6 months ago
Solving path problems on the GPU
We consider the computation of shortest paths on Graphic Processing Units (GPUs). The blocked recursive elimination strategy we use is applicable to a class of algorithms (such as...
Aydin Buluç, John R. Gilbert, Ceren Budak