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» Augmenting the connectivity of geometric graphs
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ICDCS
2008
IEEE
14 years 6 days ago
Distributed Connected Dominating Set Construction in Geometric k-Disk Graphs
In this paper, we study the problem of minimum connected dominating set in geometric k-disk graphs. This research is motivated by the problem of virtual backbone construction in w...
Kai Xing, Wei Cheng, E. K. Park, Shmuel Rotenstrei...
SODA
2008
ACM
133views Algorithms» more  SODA 2008»
13 years 7 months ago
On the connectivity of dynamic random geometric graphs
Josep Díaz, Dieter Mitsche, Xavier Pé...
WG
2010
Springer
13 years 4 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,...
DM
2010
126views more  DM 2010»
13 years 5 months ago
Asymptotic connectivity of hyperbolic planar graphs
We investigate further the concept of asymptotic connectivity as defined previously by the first author. In particular, we compute an upper bound on the asymptotic connectivity of ...
Patrick Bahls, Michael R. Dipasquale
EJC
2010
13 years 5 months ago
Connectivity of chamber graphs of buildings and related complexes
Let be a finite building (or, more generally, a thick spherical and locally finite building). The chamber graph G(), whose edges are the pairs of adjacent chambers in , is known t...
Anders Björner, Kathrin Vorwerk