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» On the connectivity of dynamic random geometric graphs
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ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
SPAA
2005
ACM
15 years 3 months ago
Oblivious routing on geometric networks
We study oblivious routing in which the packet paths are constructed independently of each other. We give a simple oblivious routing algorithm for geometric networks in which the ...
Costas Busch, Malik Magdon-Ismail, Jing Xi
SODA
2007
ACM
127views Algorithms» more  SODA 2007»
14 years 11 months ago
Line-of-sight networks
Random geometric graphs have been one of the fundamental models for reasoning about wireless networks: one places n points at random in a region of the plane (typically a square o...
Alan M. Frieze, Jon M. Kleinberg, R. Ravi, Warren ...
SIGMETRICS
2012
ACM
253views Hardware» more  SIGMETRICS 2012»
13 years 5 days ago
Characterizing continuous time random walks on time varying graphs
In this paper we study the behavior of a continuous time random walk (CTRW) on a stationary and ergodic time varying dynamic graph. We establish conditions under which the CTRW is...
Daniel R. Figueiredo, Philippe Nain, Bruno F. Ribe...
CDC
2008
IEEE
184views Control Systems» more  CDC 2008»
15 years 4 months ago
Almost sure convergence to consensus in Markovian random graphs
— In this paper we discuss the consensus problem for a network of dynamic agents with undirected information flow and random switching topologies. The switching is determined by...
Ion Matei, Nuno C. Martins, John S. Baras