Convex Neural Codes in Dimension 1
Zvi Rosen, Yan X. Zhang · arXiv (Cornell University) · 2017
Neural codes are collections of binary strings motivated by patterns of neural activity. In this paper, we study algorithmic and enumerative aspects of convex neural codes in dimension 1 (i.e. on a line or a circle). We use the theory of consecutive-ones matrices to obtain some structural and algorithmic results; we use generating functions to obtain enumerative results.