Acharjee · Royal Society open science 2024 · Mathematical modeling study · n=?

Stability in social networks.

Cited 2 times in the scientific literature.

Level 5 - mechanism / opinion, no new human data

Theoretical and mathematical modeling study with no empirical human data (graded by non-clinical design analogy)

PubMed 38660595 · doi:10.1098/rsos.231500 · record verified 2026-08-28

What was done

The authors developed a mathematical model to examine social network dynamics and Dunbar's hierarchy from the perspective of a romantic couple as a single system. Using conjoint Dunbar graphs, soft set theory, and balance theory, they modeled how social network stability and personal support structures evolve over the course of friendship development, romantic relationships, and marriage.

What was found

The abstract reports mathematical derivations rather than empirical observational data. Incorporating the premise that entering a romantic relationship displaces roughly two people from an individual's support network, the mathematical model showed that there is no significant change in an individual's friendship network if negligible time is spent with romantic partners. No empirical sample sizes, effect estimates, or statistical significance metrics are reported.

Why it matters

The study proposes a formal mathematical framework extending Dunbar's cognitive relationship limits from an individual perspective to couples as a joint system.

Limits

The study is purely theoretical and mathematical without empirical data collection, human testing, or observational validation reported in the abstract. Real-world behavioral variations and confounding factors affecting social network maintenance were not empirically measured.

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