We present an algorithm which explores permutation symmetries to describe the time evolution of agent-based epidemic models. The main idea to improve computation times relies on restricting the stochastic process to one sector of the vector space, labeled by a single permutation eigenvalue. In this scheme, the transition matrix reduces to block diagonal form, enhancing computational performance.
@article{arxiv.1609.06980,
title = {Finite symmetries in agent-based epidemic models},
author = {Gilberto M. Nakamura and Ana Carolina P. Monteiro and George C. Cardoso and Alexandre S. Martinez},
journal= {arXiv preprint arXiv:1609.06980},
year = {2016}
}