Graph fission in an evolving voter model

• Published in: Proceedings of the National Academy of Sciences - PNAS Vol. 109; no. 10; pp. 3682 - 3687
• Main Authors: Durrett, Richard, Gleeson, James P, Lloyd, Alun L, Mucha, Peter J, Shi, Feng, Sivakoff, David, Socolar, Joshua E. S, Varghese, Chris
• Format: Journal Article
• Language: English
• Published: United States National Academy of Sciences 06.03.2012; National Acad Sciences
• Subjects: Algorithms; Approximation; attitudes and opinions; Coevolution; Computer Simulation; Density; Diffusion; Epidemics; Humans; Modeling; Models, Statistical; Models, Theoretical; Opinions; phase transition; Phase transitions; Physical Sciences; Politics; Probability; Public Opinion; Simulation; Simulations; Social networking; Social networks; Social Support; Statistical graphs; Vertices; Voters; Zero

We consider a simplified model of a social network in which individuals have one of two opinions (called 0 and 1) and their opinions and the network connections coevolve. Edges are picked at random. If the two connected individuals hold different opinions then, with probability 1 - α, one imitates t...