Title :
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
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(Ci)~1-Ci / (Cmax + α), where Ci is the size of the cluster, Cmax 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;
Conference_Titel :
Applied Superconductivity and Electromagnetic Devices (ASEMD), 2013 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-0068-8
DOI :
10.1109/ASEMD.2013.6780789
