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COMBINATORICA
2007
129views more  COMBINATORICA 2007»
13 years 7 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
CORR
2010
Springer
185views Education» more  CORR 2010»
13 years 7 months ago
Estimating and Sampling Graphs with Multidimensional Random Walks
Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random w...
Bruno F. Ribeiro, Donald F. Towsley
ALGORITHMICA
2007
93views more  ALGORITHMICA 2007»
13 years 7 months ago
Random 2-SAT with Prescribed Literal Degrees
Two classic “phase transitions” in discrete mathematics are the emergence of a giant component in a random graph as the density of edges increases, and the transition of a rand...
Colin Cooper, Alan M. Frieze, Gregory B. Sorkin
CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 7 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
CDC
2010
IEEE
186views Control Systems» more  CDC 2010»
13 years 2 months ago
Approximation and limiting behavior of random models
In this paper, we investigate limiting behavior of linear dynamic systems driven by random stochastic matrices. We introduce and study the new concepts of partial ergodicity and 1-...
Behrouz Touri, Angelia Nedic