Neural Codes and the Factor Complex
Combinatorics
2019-10-22 v2 Neurons and Cognition
Abstract
We introduce the factor complex of a neural code, and show how intervals and maximal codewords are captured by the combinatorics of factor complexes. We use these results to obtain algebraic and combinatorial characterizations of max-intersection-complete codes, as well as a new combinatorial characterization of intersection-complete codes.
Keywords
Cite
@article{arxiv.1904.03235,
title = {Neural Codes and the Factor Complex},
author = {Alexander Ruys de Perez and Laura Felicia Matusevich and Anne Shiu},
journal= {arXiv preprint arXiv:1904.03235},
year = {2019}
}
Comments
Added a new section that takes computational considerations into account. That is, it compares an algorithm to determine max intersection completeness derived from our results with brute force methods