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arXiv · 2007.02142

A bijection between two subfamilies of Motzkin paths

Nancy S. S. Gu·Helmut Prodinger
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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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Nancy S. S. Gu, Helmut Prodinger. 2020-07-04. A bijection between two subfamilies of Motzkin paths. https://arxiv.org/abs/2007.02142

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