3 papers
math.CO2025
Covering Relations in the Poset of Combinatorial Neural Codes
R. Amzi Jeffs, Trong-Thuc Trang
A combinatorial neural code is a subset of the power set on , in which each represents a neuron and each element (codeword) represents…
math.CO2023
Embedding dimension gaps in sparse codes
R. Amzi Jeffs, Henry Siegel, David Staudinger +1
We study the open and closed embedding dimensions of a convex 3-sparse code , which records the intersection pattern of lines in the Fano plane. We show that the clos…
math.CO2022
Decompositions of Augmented Bergman Complexes
R. Amzi Jeffs
We study the augmented Bergman complex of a closure operator on a finite set, which interpolates between the order complex of proper flats and the independence complex of the opera…