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» Percolation in the Secrecy Graph
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EJC
2008
13 years 7 months ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...
IM
2008
13 years 7 months ago
The Structure of Geographical Threshold Graphs
We analyze the structure of random graphs generated by the geographical threshold model. The model is a generalization of random geometric graphs. Nodes are distributed in space, a...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus
RSA
2010
89views more  RSA 2010»
13 years 5 months ago
Edge flows in the complete random-lengths network
Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed random variables. Simultaneously for each pair of vertices, put a constant flow ...
David J. Aldous, Shankar Bhamidi
DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
13 years 8 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
DATAMINE
2010
175views more  DATAMINE 2010»
13 years 7 months ago
Extracting influential nodes on a social network for information diffusion
We address the combinatorial optimization problem of finding the most influential nodes on a large-scale social network for two widely-used fundamental stochastic diffusion models...
Masahiro Kimura, Kazumi Saito, Ryohei Nakano, Hiro...