Interior vertices and edges in integer partitions

Aubrey Blecher; Charlotte Brennan; Arnold Knopfmacher; Toufik Mansour

doi:https://doi.org/10.2989/16073606.2024.2411628

Interior vertices and edges in integer partitions

Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

This paper characterises the shape of the Young diagram associated with integer partitions in terms of two newly invented statistics which are defined in the text: namely interior vertices and horizontal edges. Generating functions and associated asymptotic results are developed for both interior vertices and horizontal edges.

Original language	American English
Journal	Quaestiones Mathematicae
DOIs	https://doi.org/10.2989/16073606.2024.2411628
State	Accepted/In press - 2024

Keywords

asymptotics
edges
generating function
Partitions
vertices

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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https://doi.org/10.2989/16073606.2024.2411628

Cite this

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title = "Interior vertices and edges in integer partitions",

abstract = "This paper characterises the shape of the Young diagram associated with integer partitions in terms of two newly invented statistics which are defined in the text: namely interior vertices and horizontal edges. Generating functions and associated asymptotic results are developed for both interior vertices and horizontal edges.",

keywords = "asymptotics, edges, generating function, Partitions, vertices",

author = "Aubrey Blecher and Charlotte Brennan and Arnold Knopfmacher and Toufik Mansour",

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T1 - Interior vertices and edges in integer partitions

AU - Blecher, Aubrey

AU - Brennan, Charlotte

AU - Knopfmacher, Arnold

AU - Mansour, Toufik

PY - 2024

Y1 - 2024

N2 - This paper characterises the shape of the Young diagram associated with integer partitions in terms of two newly invented statistics which are defined in the text: namely interior vertices and horizontal edges. Generating functions and associated asymptotic results are developed for both interior vertices and horizontal edges.

AB - This paper characterises the shape of the Young diagram associated with integer partitions in terms of two newly invented statistics which are defined in the text: namely interior vertices and horizontal edges. Generating functions and associated asymptotic results are developed for both interior vertices and horizontal edges.

KW - asymptotics

KW - edges

KW - generating function

KW - Partitions

KW - vertices

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U2 - https://doi.org/10.2989/16073606.2024.2411628

DO - https://doi.org/10.2989/16073606.2024.2411628

M3 - Article

SN - 1607-3606

JO - Quaestiones Mathematicae

JF - Quaestiones Mathematicae

ER -

Interior vertices and edges in integer partitions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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Cite this