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» Growth of components in random graphs
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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
ICDM
2010
IEEE
158views Data Mining» more  ICDM 2010»
13 years 2 months ago
Patterns on the Connected Components of Terabyte-Scale Graphs
How do connected components evolve? What are the regularities that govern the dynamic growth process and the static snapshot of the connected components? In this work, we study pat...
U. Kang, Mary McGlohon, Leman Akoglu, Christos Fal...
RSA
2010
107views more  RSA 2010»
13 years 3 months ago
Continuum limits for classical sequential growth models
A random graph order, also known as a transitive percolation process, is defined by taking a random graph on the vertex set {0, . . . , n − 1}, and putting i below j if there i...
Graham Brightwell, Nicholas Georgiou
WAW
2007
Springer
120views Algorithms» more  WAW 2007»
13 years 11 months ago
Giant Component and Connectivity in Geographical Threshold Graphs
The geographical threshold graph model is a random graph model with nodes distributed in a Euclidean space and edges assigned through a function of distance and node weights. We st...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus
CPC
1998
123views more  CPC 1998»
13 years 4 months ago
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
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 ...
Michael Molloy, Bruce A. Reed