A Bijection between Stacked Directed Polyominoes and Motzkin Paths with Alternative Catastrophes

Published 24 Jun 2024 in math.CO and cs.DM | (2406.16417v1)

Abstract: We present a novel bijection between stacked directed polyominoes and Motzkin paths with alternative catastrophes. Further, we show how this new connection can be used in order to obtain a better understanding of certain parameters of stacked directed animals.

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