Simplicial Complex of Opinions on Scale-Free Networks

We present a model of opinions on simplicial complexes characterized by traits. The population of agents is situated at the sites of three types of scale-free networks of different sizes which display two important characteristics of real-world social networks: clustering and modularity. A new method of opinion formation is presented using advantages of simplicial complex approach. The dynamics is twofold: the agents change their opinions and new opinions are created. Topological invariants of simplicial complexes reveal relationships among opinions, particularly those which survive.International Workshop on Complex Networks (CompleNet 2009), May 26-27, 2009, Univ Catania, Catania, Ital