The Network of Mexican Cities

TL;DR

This paper analyzes the network of over 5800 Mexican cities with populations above 5000, examining its spectral, small-world, clustering, and degree properties, and discusses implications for epidemic spread.

Contribution

It provides a comprehensive analysis of the Mexican cities network, highlighting its spectral and small-world characteristics and their relation to epidemic dynamics.

Findings

The network exhibits small-world properties.

Clustering coefficients follow a specific distribution.

Degree distribution impacts epidemic spread.

Abstract

The network of 5823 cities of Mexico with a population more than 5000 inhabitants is studied. Our analysis is focused to the spectral properties of the adjacency matrix, the small-world properties of the network, the distribution of the clustering coefficients and the degree distribution of the vertices. The connection of these features with the spread of epidemics on this network is also discussed.