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RSA
2010
104views more  RSA 2010»
13 years 3 months ago
Random graphs with forbidden vertex degrees
We study the random graph Gn,λ/n conditioned on the event that all vertex degrees lie in some given subset S of the nonnegative integers. Subject to a certain hypothesis on S, the...
Geoffrey R. Grimmett, Svante Janson
CPC
2006
93views more  CPC 2006»
13 years 4 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 6 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
EJC
2008
13 years 4 months ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...
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