2024/02/01 by Angela Fontan, Marco Ratta, Claudio Altafini · 1 voice
Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Social Capital and Networks
paper · pdf · doi:10.1093/pnasnexus/pgae046
openalex publication_date 2024/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Diversity indices of quadratic type, such as fractionalization and Simpson index, are measures of heterogeneity in a population. Even though they are univariate, they have an intrinsic bivariate interpretation as encounters among the elements of the population. In the paper, it is shown that this leads naturally to associate populations to weakly balanced signed networks. In particular, the frustration of such signed networks is shown to be related to fractionalization by a closed-form expression. This expression allows to simplify drastically the calculation of frustration for weakly balanced signed graphs.