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» The Degree Sequence of Random Apollonian Networks
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CORR
2011
Springer
174views Education» more  CORR 2011»
12 years 8 months ago
The Degree Sequence of Random Apollonian Networks
We analyze the asymptotic behavior of the degree sequence of Random Apollonian Networks [11]. For previous weaker results see [10, 11].
Charalampos E. Tsourakakis
CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 2 hour ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
MICS
2010
134views more  MICS 2010»
13 years 3 months ago
Scale Free Properties of Random k-Trees
Scale free graphs have attracted attention as their non-uniform structure that can be used as a model for many social networks including the WWW and the Internet. In this paper, w...
Colin Cooper, Ryuhei Uehara
ALENEX
2003
137views Algorithms» more  ALENEX 2003»
13 years 6 months ago
The Markov Chain Simulation Method for Generating Connected Power Law Random Graphs
Graph models for real-world complex networks such as the Internet, the WWW and biological networks are necessary for analytic and simulation-based studies of network protocols, al...
Christos Gkantsidis, Milena Mihail, Ellen W. Zegur...
CAAN
2007
Springer
13 years 11 months ago
Vertex Pursuit Games in Stochastic Network Models
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
Anthony Bonato, Pawel Pralat, Changping Wang