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J. Semigroup Theory Appl. 2026 (2026), Article ID 3

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

Mehmet Åžirin 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.

Published
29 September 2026
Volume
2026 (2026)
License
CC BY 3.0

Copyright © 2026 Mehmet Åžirin 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.

Cite this article

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

BibTeX
@article{Sezgin2026,
  author  = {Sezgin, Mehmet Åžirin},
  title   = {Rook polynomials of Young diagrams and their complements associated with numerical semigroups},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2026},
  year    = {2026},
  pages   = {3},
  doi     = {10.28919/jsta/10086}
}