Bipartite and directed scale-free complex networks arising from zeta functions
Mathematical Physics
2022-01-04 v2 Statistical Mechanics
math.MP
Number Theory
Abstract
We construct a new class of directed and bipartite random graphs whose topology is governed by the analytic properties of L-functions. The bipartite L-graphs and the multiplicative zeta graphs are relevant examples of the proposed construction. Phase transitions and percolation thresholds for our models are determined.
Keywords
Cite
@article{arxiv.1403.0760,
title = {Bipartite and directed scale-free complex networks arising from zeta functions},
author = {Piergiulio Tempesta},
journal= {arXiv preprint arXiv:1403.0760},
year = {2022}
}
Comments
This is a revised version of the published article. Some remarks and comments have been added and some misprints corrected