A series of real networks invariants

Read full text
Authors: Mikhail Alekseevich Tuzhilin
Cited by: 0

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 $j = 0$) for real networks and different distributions for artificial ones.

Fields of Study & Subjects

Graph theory and applications Complex Network Analysis Techniques Opinion Dynamics and Social Influence

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 January 2026
Document type
Preprint