Interior vertices and edges in integer partitions

Aubrey Blecher; Charlotte Brennan; Arnold Knopfmacher; Toufik Mansour

doi:10.2989/16073606.2024.2411628

Interior vertices and edges in integer partitions

Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Toufik Mansour

Department of Mathematics

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	English
Pages (from-to)	623-637
Number of pages	15
Journal	Quaestiones Mathematicae
Volume	48
Issue number	4
DOIs	https://doi.org/10.2989/16073606.2024.2411628
State	Published - 2025

Bibliographical note

Publisher Copyright:
© 2024 The Author(s). Co-published by NISC Pty (Ltd) and Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Partitions
asymptotics
edges
generating function
vertices

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.2989/16073606.2024.2411628

Cite this

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AU - Brennan, Charlotte

AU - Knopfmacher, Arnold

AU - Mansour, Toufik

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KW - asymptotics

KW - edges

KW - generating function

KW - vertices

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Interior vertices and edges in integer partitions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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