English

Networks, Random Graphs and Percolation

Probability 2014-09-09 v1

Abstract

The theory of random graphs goes back to the late 1950s when Paul Erd\H{o}s and Alfr\'ed R\'enyi introduced the Erd\H{o}s-R\'enyi random graph. Since then many models have been developed, and the study of random graph models has become popular for real-life network modelling such as social networks and financial networks. The aim of this overview is to review relevant random graph models for real-life network modelling. Therefore, we analyse their properties in terms of stylised facts of real-life networks.

Keywords

Cite

@article{arxiv.1409.2339,
  title  = {Networks, Random Graphs and Percolation},
  author = {Philippe Deprez and Mario V. Wüthrich},
  journal= {arXiv preprint arXiv:1409.2339},
  year   = {2014}
}
R2 v1 2026-06-22T05:51:16.338Z