Oscillation of the NCO model

• DOI: 10.1016/j.physa.2011.12.039
• Publication Date: 2011-12-31T12:06:21Z
• Authors: Luosheng Wen; Xin Liang; Jiang Zhong; Bin Long
• Keywords: Oscillation (cell signaling)

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 A (the percentage of nodes whose opinions oscillate) and ( 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.