Neural codes and the factor complex Academic Article uri icon

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.

published proceedings

  • Advances in Applied Mathematics

author list (cited authors)

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

complete list of authors

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

publication date

  • March 2020