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» On Spanners and Lightweight Spanners of Geometric Graphs
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CCCG
2004
13 years 10 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
WG
2010
Springer
13 years 7 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
IM
2008
13 years 8 months ago
Fast and Efficient Restricted Delaunay Triangulation in Random Geometric Graphs
Let G = G(n, r) be a random geometric graph resulting from placing n nodes uniformly at random in the unit square (disk) and connecting every two nodes if and only if their Euclide...
Chen Avin
SIROCCO
2001
13 years 10 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
ICDCSW
2009
IEEE
14 years 3 months ago
A Geometric Routing Protocol in Disruption Tolerant Network
We describe a novel Geometric Localized Routing (GLR) protocol in Disruption (Delay) Tolerant Network (DTN). Although DTNs do not guarantee the connectivity of the network all the...
Jingzhe Du, Evangelos Kranakis, Amiya Nayak