Effect of Resonance in the Effective Control Model Based on the Spread of Influence on Directed Weighted Signed Graphs
- 7 Downloads
This article proposes a method of selecting the damping factor (DF) based on finding the boundaries of the range of the domain of the DF for a model of effective controls, reflecting the spread of influence on the directed weighted signed graphs. The graph model is a fuzzy cognitive map (FCM). Two ranges of the subset values of the domain of the DF are proposed: (i) the admissible range, within which the co-directionality of the response and impact vectors is guaranteed to prevail, and (ii) the resonance range, within which there is a rapid rearrangement and reversal of the ranks of the vertices. An interpretation of the resonance surge for this model of the spread of influence is proposed.
KeywordsEffective controls Damping factor Influence Directed weighted signed graphs Fuzzy cognitive map
This work was supported by the Russian Foundation for Basic Research [grant number № 19-01-00109].
- 1.Page, L., Brin, S., Motwany, R., Winograd, T.: The PageRank citation ranking: bringing order to the web. In: 7th International World Wide Web Conference, pp. 161–172 (1998)Google Scholar
- 6.Tselykh, A.N., Vasilev, V.S., Tselykh, L.A., Barkovskii, S.A.: Method maximizing the spread of influence in directed signed weighted graphs. Adv. Electr. Electron. Eng. 15(2), 203–214 (2017)Google Scholar
- 11.Boldi, P., Santini, M., Vigna, S.: PageRank as a function of the damping factor. In: Proceedings of the 14th International Conference on World Wide Web - WWW 2005, p. 557 (2005)Google Scholar