Convex Neural Codes in Dimension 1

Published 22 Feb 2017 in math.CO and q-bio.NC | (1702.06907v1)

Abstract: 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.

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