Open AccessTopology Universality and Dissimilarity in a Class of Scale-Free Networks
Author(s) -
Lanhua Zhang,
Juan Chen,
Mei Wang,
Yujuan Li,
ShaoWei Xue,
YiYuan Tang,
Baoliang Sun
Publication year - 2016
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0161653
Subject(s) - determinacy , randomness , universality (dynamical systems) , scaling , scale free network , topology (electrical circuits) , statistical physics , mathematics , preferential attachment , complex network , computer science , combinatorics , physics , statistics , mathematical analysis , geometry , quantum mechanics
We study the effect of subtle changes on the evolution in the scale-free (SF) networks. Three extended models are evolved based on competition and inner anti-preferential deletion in growth and preferential attachment processes. By nonlinear and dynamic controlling on randomness and determinacy, three models can self-organize into scale-free networks, and diverse scaling exponents appear. Moreover, the model with more determinacy has more stringent parameter control than randomness, especially in the edge deletion. Our results suggest that the nature of the topology universality and dissimilarity in SF networks may be the subtle changes of randomness and determinacy.