Levels in Baryiamonds

This study examines a statistic called levels in baryiamonds.Generating functions are found that count the total number of four different kinds of levels in baryiamonds according to the number of cells and the perimeter.As a consequence, by singularity analysis, the average number of each type of levels over all baryiamonds with either n cells or having perimeter n, as n , is studied.

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Publication Details

Journal
Discrete Mathematics Letters
Published
2026-04-12
DOI
https://doi.org/10.47443/dml.2025.235
Primary Topic
Mineralogy and Gemology Studies
Type
article
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article

Levels in Baryiamonds

Toufik Mansour
Discrete Mathematics Letters
Mineralogy and Gemology Studies
article

Levels in Baryiamonds

Toufik Mansour
article en

Abstract

This study examines a statistic called levels in baryiamonds.Generating functions are found that count the total number of four different kinds of levels in baryiamonds according to the number of cells and the perimeter.As a consequence, by singularity analysis, the average number of each type of levels over all baryiamonds with either n cells or having perimeter n, as n , is studied.

Discrete Mathematics Letters
Openalex Percentile: Top 22%
Mineralogy and Gemology Studies
DOIOpen Access PDFOpenAlex
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Levels in Baryiamonds — Toufik Mansour · Discrete Mathematics Letters (2026) | TGRS Research Map | TGRS