2019/04/05 by de Perez, Alexander Ruys, Matusevich, Laura Felicia, Shiu, Anne · 1 citation
#Combinatorics (math.CO) #FOS: Biological sciences #FOS: Mathematics #Neurons and Cognition (q-bio.NC)
paper · doi:10.48550/arxiv.1904.03235
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.