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» A Point Process Describing the Component Sizes in the Critic...
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CPC
2007
76views more  CPC 2007»
13 years 4 months ago
A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n, p) in the critical window, that is, for p = n−1 + λn−4/...
Svante Janson, Joel Spencer
RSA
2011
124views more  RSA 2011»
12 years 11 months 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...
COMBINATORICA
2007
129views more  COMBINATORICA 2007»
13 years 4 months ago
Birth control for giants
The standard Erd˝os-Renyi model of random graphs begins with n isolated vertices, and at each round a random edge is added. Parametrizing n 2 rounds as one time unit, a phase tra...
Joel H. Spencer, Nicholas C. Wormald