2 papers
math.CO2021
Wheels: A New Criterion for Non-convexity of Neural Codes
Laura Matusevich, Alexander Ruys de Perez, Anne Shiu
We introduce new geometric and combinatorial criteria that preclude a neural code from being convex, and use them to tackle the classification problem for codes on six neurons. Alo…
math.CO2020
Nondegenerate Neural Codes and Obstructions to Closed-Convexity
Patrick Chan, Katherine Johnston, Joseph Lent +2
Previous work on convexity of neural codes has produced codes that are open-convex but not closed-convex -- or vice-versa. However, why a code is one but not the other, and how to…