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» Growth of components in random graphs
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CCCG
2009
13 years 6 months ago
Rigid Components of Random Graphs
We study the emergence of rigid components in an Erdos-R
Louis Theran
CORR
2010
Springer
124views Education» more  CORR 2010»
13 years 5 months ago
Component Evolution in General Random Intersection Graphs
Abstract. Random intersection graphs (RIGs) are an important random structure with algorithmic applications in social networks, epidemic networks, blog readership, and wireless sen...
Milan Bradonjic, Aric A. Hagberg, Nicolas W. Henga...
RSA
2008
118views more  RSA 2008»
13 years 4 months ago
The cover time of the giant component of a random graph
We study the cover time of a random walk on the largest component of the random graph Gn,p. We determine its value up to a factor 1 + o(1) whenever np = c > 1, c = O(ln n). In ...
Colin Cooper, Alan M. Frieze
CPC
2007
76views more  CPC 2007»
13 years 5 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
WAW
2009
Springer
150views Algorithms» more  WAW 2009»
13 years 12 months ago
The Giant Component in a Random Subgraph of a Given Graph
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...
Fan Chung Graham, Paul Horn, Linyuan Lu