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2021 Action graphs, rooted planar forests, and self-convolutions of the Catalan numbers
Julia E. Bergner, Cedric Harper, Ryan Keller, Mathilde Rosi-Marshall
Involve 14(3): 387-399 (2021). DOI: 10.2140/involve.2021.14.387

Abstract

We show that families of action graphs, with initial graphs which are linear of varying length, give rise to self-convolutions of the Catalan sequence. We also give a comparison with planar rooted forests with a fixed number of trees.

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Julia E. Bergner. Cedric Harper. Ryan Keller. Mathilde Rosi-Marshall. "Action graphs, rooted planar forests, and self-convolutions of the Catalan numbers." Involve 14 (3) 387 - 399, 2021. https://doi.org/10.2140/involve.2021.14.387

Information

Received: 18 February 2020; Accepted: 18 January 2021; Published: 2021
First available in Project Euclid: 30 July 2021

Digital Object Identifier: 10.2140/involve.2021.14.387

Subjects:
Primary: 05A19, 05C05

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.14 • No. 3 • 2021
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