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RSA
2010
118views more  RSA 2010»
12 years 11 months ago
Asymptotic equivalence and contiguity of some random graphs
We show that asymptotic equivalence, in a strong form, holds between two random graph models with slightly differing edge probabilities under substantially weaker conditions than w...
Svante Janson
IJON
2007
81views more  IJON 2007»
13 years 5 months ago
Statistical analysis of spatially embedded networks: From grid to random node positions
Many conceptual studies of local cortical networks assume completely random wiring. For spatially extended networks, however, such random graph models are inadequate. The geometry...
Nicole Voges, Ad Aertsen, Stefan Rotter
BIOINFORMATICS
2007
83views more  BIOINFORMATICS 2007»
13 years 5 months ago
Exploring biological network structure using exponential random graph models
Motivation: The functioning of biological networks depends in large part on their complex underlying structure. When studying their systemic nature many modeling approaches focus ...
Zachary M. Saul, Vladimir Filkov
SODA
2008
ACM
131views Algorithms» more  SODA 2008»
13 years 6 months ago
PageRank and the random surfer model
In recent years there has been considerable interest in analyzing random graph models for the Web. We consider two such models - the Random Surfer model, introduced by Blum et al....
Prasad Chebolu, Páll Melsted
WAW
2007
Springer
162views Algorithms» more  WAW 2007»
13 years 11 months ago
Random Dot Product Graph Models for Social Networks
Inspired by the recent interest in combining geometry with random graph models, we explore in this paper two generalizations of the random dot product graph model proposed by Kraet...
Stephen J. Young, Edward R. Scheinerman
DCC
2001
IEEE
14 years 4 months ago
Towards Compressing Web Graphs
We consider the problem of compressing graphs of the link structure of the World Wide Web. We provide efficient algorithms for such compression that are motivated by recently prop...
Micah Adler, Michael Mitzenmacher
PODS
2006
ACM
127views Database» more  PODS 2006»
14 years 5 months ago
Evolution of page popularity under random web graph models
The link structure of the Web can be viewed as a massive graph. The preferential attachment model and its variants are well-known random graph models that help explain the evoluti...
Rajeev Motwani, Ying Xu 0002