English

On the scale-freeness of random colored substitution networks

Probability 2023-11-16 v2 Combinatorics

Abstract

Extending previous results in the literature, random colored substitution networks and degree dimension are defined in this paper. The scale-freeness of these networks is proved by introducing a new definition for degree dimension that is associated with Lyapunov exponents. The random colored substitution network hence turns out to be a simple, powerful and promising model to generate random scale-free networks.

Keywords

Cite

@article{arxiv.2109.14463,
  title  = {On the scale-freeness of random colored substitution networks},
  author = {Nero Ziyu Li and Thomas Britz},
  journal= {arXiv preprint arXiv:2109.14463},
  year   = {2023}
}