Rook polynomials of Young diagrams and their complements associated with numerical semigroups

Mehmet Şirin Sezgin

Abstract

In this study, using the bijective correspondence between numerical sets and Young diagrams, we express the rook polynomials of the Young diagrams corresponding to certain families of numerical semigroups and the complements of these Young diagrams.

How to Cite this Article

Mehmet Şirin Sezgin, Rook polynomials of Young diagrams and their complements associated with numerical semigroups, J. Semigroup Theory Appl., 2026 (2026), Article ID 3. https://doi.org/10.28919/jsta/10086

Copyright © 2026 Mehmet Şirin Sezgin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.