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A bijection between two subfamilies of Motzkin paths

Published 4 Jul 2020 in math.CO | (2007.02142v1)

Abstract: Two subfamilies of Motzkin paths, with the same numbers of up, down, horizontal steps were known to be equinumerous with ternary trees and related objects. We construct a bijection between these two families that does not use any auxiliary objects, like ternary trees.

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