Presentation 2020-03-06
Closed-Form Solutions of the Fundamental Equation Describing User Dynamics in Online Social Networks
T. Ikeya, Masaki Aida,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The oscillation model based on the wave equation of networks is а model describing user dynamics in online social networks. To explicitly describe the causal relation of user dynamics that a certain specific structure of networks causes, the fundamental equation of the user dynamics can be introduced into the oscillation model. Moreover, by considering the sparseness of online social networks, another fundamental equation having different form is derived. In this paper, we show closed-form solutions of the fundamental equation and solutions of the original wave equation from the closed-form solutions. In addition, we compare solutions derived from the different fundamental equations and investigate the properties of the solutions.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) oscillation model / user dynamics / wave equation / fundamental equation
Paper # IN2019-130
Date of Issue 2020-02-27 (IN)

Conference Information
Committee NS / IN
Conference Date 2020/3/5(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Royal Hotel Okinawa Zanpa-Misaki
Topics (in Japanese) (See Japanese page)
Topics (in English) General
Chair Yoshikatsu Okazaki(NTT) / Takuji Kishida(NTT-AT)
Vice Chair Akihiro Nakao(Univ. of Tokyo) / Kenji Ishida(Hiroshima City Univ.)
Secretary Akihiro Nakao(Osaka Pref Univ.) / Kenji Ishida(NTT)
Assistant Shinya Kawano(NTT)

Paper Information
Registration To Technical Committee on Network Systems / Technical Committee on Information Networks
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Closed-Form Solutions of the Fundamental Equation Describing User Dynamics in Online Social Networks
Sub Title (in English)
Keyword(1) oscillation model
Keyword(2) user dynamics
Keyword(3) wave equation
Keyword(4) fundamental equation
1st Author's Name T. Ikeya
1st Author's Affiliation Tokyo Metropolitan University(Tokyo Metropolitan Univ.)
2nd Author's Name Masaki Aida
2nd Author's Affiliation Tokyo Metropolitan University(Tokyo Metropolitan Univ.)
Date 2020-03-06
Paper # IN2019-130
Volume (vol) vol.119
Number (no) IN-461
Page pp.pp.309-314(IN),
#Pages 6
Date of Issue 2020-02-27 (IN)