Year: 2013
Author: Zhimin Li, Jinhui Geng
Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 203–217
Abstract
In this paper, we propose an evolving random network. The model is a linear combination of preferential attachment model and uniform model. We show that scaling limit distribution of the number of leaves at time $n$ is approximated by normal distribution and the proportional degree sequence obeys power law. The branching structure and maximum degree are also discussed in this paper.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19004
Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 203–217
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: random network scale-free graph degree sequence.