On the Structural Balance Dynamics Under Perceived Sentiment

Shang, Yilun (2019) On the Structural Balance Dynamics Under Perceived Sentiment. Bulletin of the Iranian Mathematical Society. ISSN 1017-060X (In Press)

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Official URL: https://doi.org/10.1007/s41980-019-00286-4

Abstract

In this letter, we propose a continuous-time dynamics for social network that represents patterns of both amity and enmity through directed signed graphs. The introduction of discrepancies between true and perceived sentiments gives rise to a non-autonomous system and distinguishes itself from the prior models. We show that for almost all initial configurations, the system will evolve into at most four factions. Under some mild assumptions on the initial conditions, structural balance with at most two factions can be achieved, which extends the previous results for symmetric or normal initial configurations without considering the effect of perceived sentiment.

Item Type: Article
Uncontrolled Keywords: Structural balance, Continuous time, Matrix exponential, Signed graph
Subjects: G400 Computer Science
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User: Paul Burns
Date Deposited: 29 Aug 2019 17:14
Last Modified: 11 Oct 2019 13:02
URI: http://nrl.northumbria.ac.uk/id/eprint/40466

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