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CORR
2008
Springer
149views Education» more  CORR 2008»
13 years 5 months ago
Phase Transitions on Fixed Connected Graphs and Random Graphs in the Presence of Noise
In this paper, we study phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a...
Jialing Liu, Vikas Yadav, Hullas Sehgal, Joshua M....
RSA
2010
98views more  RSA 2010»
13 years 3 months ago
Merging percolation on Zd and classical random graphs: Phase transition
: We study a random graph model which is a superposition of bond percolation on Zd with parameter p, and a classical random graph G(n, c/n). We show that this model, being a homoge...
Tatyana S. Turova, Thomas Vallier
CORR
2010
Springer
182views Education» more  CORR 2010»
13 years 5 months ago
Component structure induced by a random walk on a random graph
We consider random walks on two classes of random graphs and explore the likely structure of the vacant set viz. the set of unvisited vertices. Let (t) be the subgraph induced by ...
Colin Cooper, Alan M. Frieze
CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 5 months ago
Continuum Percolation in the Intrinsically Secure Communications Graph
The intrinsically secure communications graph (-graph) is a random graph which captures the connections that can be securely established over a large-scale network, in the presence...
Pedro C. Pinto, Moe Z. Win
BC
2005
106views more  BC 2005»
13 years 4 months ago
Phase transitions in the neuropercolation model of neural populations with mixed local and non-local interactions
Abstract We model the dynamical behavior of the neuropil, the densely interconnected neural tissue in the cortex, using neuropercolation approach. Neuropercolation generalizes phas...
Robert Kozma, Marko Puljic, Paul Balister, B&eacut...