NDLI: A two-stage percolation process in random networks

Content Provider	IEEE Xplore Digital Library
Author	Jia, Xiao Hong, Jin-Song Yang, Chun Fu, Chuan-Ji Hu, Jian-Quan
Copyright Year	2015
Description	Author affiliation: IEEE Conference Publishing, No.4, Section 2, North Jianshe Road, Chengdu, Sichuan 610054 China (Jia, Xiao; Hong, Jin-Song; Yang, Chun; Fu, Chuan-Ji; Hu, Jian-Quan)
Abstract	We study a percolation model where the product rule (PR) is intervened by the randomly adding-edges rule from some moment t. At t=0, the model becomes the classical Erdös-Rényi (ER) random graph model where the order parameter undergoes a continuous phase transition. When t=1, the model becomes the PR model with two competitive edges, in which the order parameter exhibits an extremely abrupt transition with a significant jump in large but finite system. To study how the parameter t affects the percolation behavior of the PR model, the numerical simulations investigate the pseudotransition point and the maximum gap of the order parameter for the percolation processes with different values of t. For the percolation processes at different values of t, the pseudotransition point t(N) can be predicted by the fitting function t(N) about t. As opposed to the weakly continuity of the order parameter in the PR model, it is found that the weakly continuity of the order parameter becomes weaker or even continuous in sufficiently large and finite system for the percolation processes at t<0.888449. To clearly understand the behavior of the percolation processes at t<0.888449, the numerical simulations investigate the cluster size distribution of the evolution. The characteristics of the phase transition in this model might provide reference for network intervention and control.
Starting Page	1
Ending Page	3
File Size	266554
Page Count	3
File Format	PDF
ISBN	9781479987658
e-ISBN	9781479987672
DOI	10.1109/APMC.2015.7413466
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-06
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Numerical models Explosives Erbium Fitting Lattices Numerical simulation Analytical models
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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