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Oscillation of the NCO model
Authors:Luosheng Wen  Xin Liang  Jiang Zhong  Bin Long
Affiliation:1. School of Mathematics and Statistics, Chongqing University, Chongqing, 400044, China;2. School of Computer Science, Chongqing University, Chongqing, 400044, China;3. Key Laboratory of Dependable Service Computing in Cyber Physical Society Ministry of Education, Chongqing 400044, China
Abstract:We study opinion oscillation of the nonconsensus opinion model (NCO) on graphs, and in particular on bipartite graphs. Using intensive numerical simulations, we investigate the relationship between amplitude AA (the percentage of nodes whose opinions oscillate) and (p,q)(p,q), which are the initial configuration fractions with opinion 1 on two sets of two bipartite graphs. Finally, for the general graph, we present several definitions and develop three propositions as regards whether an oscillation can occur or not on a certain graph.
Keywords:Nonconsensus opinion model (NCO)   Oscillation   Regular lattice
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