Neural codes and the factor complex

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.

authors

• Matusevich, Laura
• Shiu, Anne

published proceedings

• ADVANCES IN APPLIED MATHEMATICS

author list (cited authors)

• de Perez, A. R., Matusevich, L. F., & Shiu, A.

citation count

• 2

complete list of authors

• de Perez, Alexander Ruys||Matusevich, Laura Felicia||Shiu, Anne

publication date

• March 2020

publisher

• Elsevier  Publisher

published in

• Advances in Applied Mathematics  Journal

keywords

• Cognition
• Combinatorics
• Commutative Algebra
• Neurons
• Stanley-reisner

Digital Object Identifier (DOI)

• 10.1016/j.aam.2019.101977

start page

• 101977

end page

• 101977

volume

• 114

URL

• http://dx.doi.org/10.1016/j.aam.2019.101977