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Action graphs,
rooted planar forests, and self-convolutions of the Catalan
numbers
Julia E. Bergner, Cedric Harper, Ryan Keller and Mathilde Rosi-Marshall
Vol. 14 (2021), No. 3, 387–399
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Abstract |
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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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Keywords
Catalan numbers, convolution of sequences, action graphs
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Mathematical Subject Classification 2010
Primary: 05A19, 05C05
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Milestones
Received: 18 February 2020
Revised: 15 October 2020
Accepted: 18 January 2021
Published: 17 July 2021
Communicated by Kenneth S. Berenhaut
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Authors |
| Julia E. Bergner | |
| Department of Mathematics University of Virginia Charlottesville, VA United States |
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| Cedric Harper | |
| Department of Mathematics University of Virginia Charlottesville, VA United States |
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| Ryan Keller | |
| Department of Mathematics University of Virginia Charlottesville, VA United States |
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| Mathilde Rosi-Marshall | |
| Department of Mathematics University of Virginia Charlottesville, VA United States |
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