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» Augmenting the connectivity of geometric graphs
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DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
13 years 7 months ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...
Chen Avin
ISAAC
2009
Springer
103views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Tri-Edge-Connectivity Augmentation for Planar Straight Line Graphs
It is shown that if a planar straight line graph (PSLG) with n vertices in general position in the plane can be augmented to a 3-edge-connected PSLG, then 2n−2 new edges are enou...
Marwan Al-Jubeh, Mashhood Ishaque, Kristóf ...
CCCG
2010
13 years 6 months ago
Connected dominating sets on dynamic geometric graphs
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
Leonidas J. Guibas, Nikola Milosavljevic, Arik Mot...