RSA
2011
13 years 5 months ago
2011
: The classical result in the theory of random graphs, proved by Erd˝os and Rényi in 1960, concerns the threshold for the appearance of the giant component in the random graph pr...
RSA
2011
13 years 5 months ago
2011
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...
CPC
1998
13 years 10 months ago
1998
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
ALGORITHMICA
2007
13 years 11 months ago
2007
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...
WAW
2009
Springer
14 years 5 months ago
2009
Springer
We consider a random subgraph Gp of a host graph G formed by retaining each edge of G with probability p. We address the question of determining the critical value p (as a function...
INFOCOM
2009
IEEE
14 years 5 months ago
2009
IEEE
—In this paper, we study the giant component, the largest component containing a non-vanishing fraction of nodes, in wireless multi-hop networks in d (d = 1, 2). We assume that n...