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» Embracing the Giant Component
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KDD
2008
ACM
142views Data Mining» more  KDD 2008»
14 years 6 months ago
Weighted graphs and disconnected components: patterns and a generator
The vast majority of earlier work has focused on graphs which are both connected (typically by ignoring all but the giant connected component), and unweighted. Here we study numer...
Mary McGlohon, Leman Akoglu, Christos Faloutsos
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
RSA
2011
124views more  RSA 2011»
13 years 21 days ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
IJON
2007
73views more  IJON 2007»
13 years 5 months ago
A biophysical model of short-term plasticity at the calyx of Held
The calyx of Held is a giant glutamatergic synapse in the auditory system and displays multiple forms of short-term facilitation and depression. This study presents a detailed mod...
Matthias H. Hennig, Michael Postlethwaite, Ian D. ...
COCOON
2006
Springer
13 years 7 months ago
Creation and Growth of Components in a Random Hypergraph Process
Denote by an -component a connected b-uniform hypergraph with k edges and k(b - 1) - vertices. We prove that the expected number of creations of -component during a random hypergr...
Vlady Ravelomanana, Alphonse Laza Rijamamy