Variations of the Catalan numbers from some nonassociative binary operations

Nickolas Hein; Jia Huang

Variations of the Catalan numbers from some nonassociative binary operations

Nickolas Hein, Jia Huang

Mathematics and Statistics

Research output: Contribution to conference › Paper › peer-review

1 Scopus citations

Abstract

We investigate certain nonassociative binary operations that satisfy a four-parameter generalization of the associative law. From this we obtain variations of the ubiquitous Catalan numbers and connections to many interesting combinatorial objects such as binary trees, plane trees, lattice paths, and permutations.

Original language	English (US)
State	Published - 2018
Event	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States Duration: Jul 16 2018 → Jul 20 2018

Conference

Conference	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
Country/Territory	United States
City	Hanover
Period	7/16/18 → 7/20/18

Keywords

Binary operation
Binary tree
Catalan number
Nonassociativity

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

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title = "Variations of the Catalan numbers from some nonassociative binary operations",

abstract = "We investigate certain nonassociative binary operations that satisfy a four-parameter generalization of the associative law. From this we obtain variations of the ubiquitous Catalan numbers and connections to many interesting combinatorial objects such as binary trees, plane trees, lattice paths, and permutations.",

keywords = "Binary operation, Binary tree, Catalan number, Nonassociativity",

author = "Nickolas Hein and Jia Huang",

note = "Publisher Copyright: {\textcopyright} FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.; 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 ; Conference date: 16-07-2018 Through 20-07-2018",

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AU - Hein, Nickolas

AU - Huang, Jia

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KW - Binary operation

KW - Binary tree

KW - Catalan number

KW - Nonassociativity

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M3 - Paper

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T2 - 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018

Y2 - 16 July 2018 through 20 July 2018

ER -

Variations of the Catalan numbers from some nonassociative binary operations

Abstract

Conference

Keywords

ASJC Scopus subject areas

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