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arXiv:1902.01681 [math.CO]AbstractReferencesReviewsResources

On two subclasses of Motzkin paths and their relation to ternary trees

Helmut Prodinger, Sarah J. Selkirk, Stephan Wagner

Published 2019-02-05Version 1

Two subclasses of Motzkin paths, S-Motzkin and T-Motzkin paths, are introduced. We provide bijections between S-Motzkin paths and ternary trees, S-Motzkin paths and non-crossing trees, and T-Motzkin paths and ordered pairs of ternary trees. Symbolic equations for both paths, and thus generating functions for the paths, are provided. Using these, various parameters involving the two paths are analyzed.

Comments: This is a very extended version of arXiv:1808.01907
Categories: math.CO
Subjects: 05A15, 05A19
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