Explosive percolation with cluster aggregation model

Author

Xiao Hong Shi ; Chun Yang ; Jian Quan Hu ; Yu Ming Yang ; Chuan Ji Fu

Author_Institution

Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

fYear

2013

Firstpage

340

Lastpage

342

Abstract

How clusters is aggregated have great effect on the function and dynamic of complex network. A percolation transition model is introduced in this paper which can be described with the clusters aggregated probability p(C_i)~1-C_i / (C_max + α), where C_i is the size of the cluster, C_max is the size of the largest cluster and α is disturbance parameter. This model respectively introduce weakly and strongly discontinuous percolation transition underlying the different α and reveal the strongly impact of clusters´ aggregated probability.

Keywords

complex networks; network theory (graphs); probability; cluster aggregated probability; cluster aggregation model; cluster size; complex network; disturbance parameter; explosive percolation; percolation transition model; strongly discontinuous percolation transition; weakly discontinuous percolation transition; Educational institutions; Erbium; Explosives; Lattices; Mathematical model; Modulation; Probability; aggregated probability; complex network; disturbance parameter; strongly discontinuous percolation;

fLanguage

English

Publisher

ieee

Conference_Titel

Applied Superconductivity and Electromagnetic Devices (ASEMD), 2013 IEEE International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4799-0068-8

Type

conf

DOI

10.1109/ASEMD.2013.6780789

Filename

6780789