Neural Codes and the Factor Complex

Published 5 Apr 2019 in math.CO and q-bio.NC | (1904.03235v2)

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.

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