A Geometric Chung Lu model and the Drosophila Medulla connectome
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2021
- arXiv:
- arXiv:2109.00061
- Bibcode:
- 2021arXiv210900061A
- Keywords:
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- Mathematics - Combinatorics;
- Computer Science - Social and Information Networks;
- Quantitative Biology - Neurons and Cognition
- E-Print:
- 28 pages, 13 figures