2021/03/15 by T. Ikeya, Ikeya, T., Masaki Aida +1
Computer Science · Medicine · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Computer and information sciences #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph) #Social and Information Networks (cs.SI) #cs.SI #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.2103.08518
16 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:2011.05391
arxiv created 2021/03/15 · openalex publication_date 2021/03/15 · arxiv updated 2021/03/16 · openalex created_date 2021/03/29 · openalex updated_date 2026/07/28
The oscillation model, based on the wave equation on networks, can describe user dynamics in online social networks. The fundamental equation of user dynamics can be introduced into the oscillation model to explicitly describe the causal relation of user dynamics yielded by certain specific network structures. Moreover, by considering the sparseness of the link structure of online social networks, a novel fundamental equation of different forms has been devised. In this paper, we derive a closed-form solution of the new fundamental equation. Also, we show that the closed-form solution of the new fundamental equation can generate the general solution of the original wave equation and investigate the characteristics of the derived general solution.