A series of real networks invariants
Social and Information Networks
2026-05-08 v2 Combinatorics
Abstract
In this article we propose a generalization of two known invariants of real networks: degree and ksi-centrality. More precisely, we found a series of centralities based on Laplacian matrix, that have exponential distributions (power-law for the case ) for real networks and different distributions for artificial ones.
Cite
@article{arxiv.2601.02052,
title = {A series of real networks invariants},
author = {Mikhail Tuzhilin},
journal= {arXiv preprint arXiv:2601.02052},
year = {2026}
}