English

A Geometric Chung Lu model and the Drosophila Medulla connectome

Combinatorics 2025-03-04 v1 Social and Information Networks Neurons and Cognition

Abstract

Many real world graphs have edges correlated to the distance between them, but, in an inhomogeneous manner. While the Chung-Lu model and the geometric random graph models both are elegant in their simplicity, they are insufficient to capture the complexity of these networks. In this paper, we develop a generalized geometric random graph model that preserves many graph theoretic aspects of these real world networks. We test the validity of this model on a graphical representation of the Drosophila Medulla connectome.

Keywords

Cite

@article{arxiv.2109.00061,
  title  = {A Geometric Chung Lu model and the Drosophila Medulla connectome},
  author = {Susama Agarwala and Franklin Kenter},
  journal= {arXiv preprint arXiv:2109.00061},
  year   = {2025}
}

Comments

28 pages, 13 figures