Name
Abstract | ||
|---|---|---|
We investigate several aspects of a self-similar evolutionary process that builds a random bipolar network from building blocks that are themselves small bipolar networks. We characterize admissible outdegrees in the history of the evolution. We obtain the limit distribution of the polar degrees (when suitably scaled) characterized by its sequence of moments. We also obtain the asymptotic joint multivariate normal distribution of the number of nodes of small admissible outdegrees. Five possible substructures arise, and each has its own parameters (mean vector and covariance matrix) in the multivariate distribution. Several results are obtained by mapping bipolar networks into Polya urns. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1017/jpr.2016.11 | JOURNAL OF APPLIED PROBABILITY |
Keywords | Field | DocType |
Random structure, network, self-similarity, random graph, degree, stochastic recurrence, Polya urn, multivariate normal distribution | Stochastic simulation,Random element,Random variate,Combinatorics,Random field,Random graph,Multivariate random variable,Exponential random graph models,Statistics,Mathematics,Random function | Journal |
Volume | Issue | ISSN |
53 | 2 | 0021-9002 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chen Chen | 1 | 0 | 0.34 |
| Hosam M. Mahmoud | 2 | 183 | 55.63 |