English

Long-range connections, real-world networks and rates of diffusion

Adaptation and Self-Organizing Systems 2024-11-15 v1

Abstract

Long range connections play an essential role in dynamical processes on networks, on the processing of information in biological networks, on the structure of social and economical networks and in the propagation of opinions and epidemics. Here we review the evidence for long range connections in real world networks and discuss the nature of the nonlocal diffusion arising from different distance-dependent laws. Particular attention is devoted to exponential and power laws.

Keywords

Cite

@article{arxiv.2203.07985,
  title  = {Long-range connections, real-world networks and rates of diffusion},
  author = {Tanya Araújo and R. Vilela Mendes},
  journal= {arXiv preprint arXiv:2203.07985},
  year   = {2024}
}

Comments

25 pages Latex, 17 figures