Structural balance in one time step

Malgorzata J. Krawczyk and Krzysztof Kułakowski

Physica A: Statistical Mechanics and its Applications, 2022, vol. 606, issue C

Abstract: In complete graphs with signed links, the structural balance means that the graph nodes are divided into two groups, internally friendly (positive links) and mutually hostile (negative links). We present a simple formula which, for any initial condition, allows to reach the structural balance in one time step. The formula works for complete graphs of odd number of nodes.

Keywords: Heider balance; Cellular automaton; Connected graph (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122007117

DOI: 10.1016/j.physa.2022.128153

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