An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321

Gökhan Yıldırım; Melis Gezer

doi:10.15672/hujms.1602878

Research Article

Year 2026, Issue: Advanced Online Publication, 1 - 16

Gökhan Yıldırım , Melis Gezer

https://doi.org/10.15672/hujms.1602878

Abstract

Project Number

Tübitak-Ardeb grant no: 120F352

References

[1] J. S. Auli and S. Elizalde, Consecutive patterns in inversion sequences, Discrete Math. Theor. Comput. Sci. 21 (2), Paper No. 6, 22 pp, 2019.

An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321

Year 2026, Issue: Advanced Online Publication, 1 - 16

Gökhan Yıldırım , Melis Gezer

https://doi.org/10.15672/hujms.1602878

Abstract

We present an explicit bijection between the set of inversion sequences avoiding the pat- terns 0312 and 0321, preserving five statistics: the counts of zeros, distinct elements, repeating elements, left-to-right maxima, and the maximum entry. We also provide some sampling algorithms for these pattern-avoiding inversion sequences

Keywords

inversion sequences , pattern avoidance , random sampling

Supporting Institution

Tübitak

Project Number

Tübitak-Ardeb grant no: 120F352

References

[1] J. S. Auli and S. Elizalde, Consecutive patterns in inversion sequences, Discrete Math. Theor. Comput. Sci. 21 (2), Paper No. 6, 22 pp, 2019.

There are 1 citations in total.

Details

Primary Language	English
Subjects	Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)
Journal Section	Research Article
Authors	Gökhan Yıldırım 0000-0003-4399-7843 Melis Gezer 0000-0001-9823-8292
Project Number	Tübitak-Ardeb grant no: 120F352
Submission Date	December 17, 2024
Acceptance Date	May 29, 2025
Early Pub Date	June 24, 2025
Published in Issue	Year 2026 Issue: Advanced Online Publication

Cite

APA	Yıldırım, G., & Gezer, M. (2025). An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321. Hacettepe Journal of Mathematics and Statistics(Advanced Online Publication), 1-16. https://doi.org/10.15672/hujms.1602878
AMA	Yıldırım G, Gezer M. An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321. Hacettepe Journal of Mathematics and Statistics. June 2025;(Advanced Online Publication):1-16. doi:10.15672/hujms.1602878
Chicago	Yıldırım, Gökhan, and Melis Gezer. “An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication (June 2025): 1-16. https://doi.org/10.15672/hujms.1602878.
EndNote	Yıldırım G, Gezer M (June 1, 2025) An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication 1–16.
IEEE	G. Yıldırım and M. Gezer, “An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, pp. 1–16, June2025, doi: 10.15672/hujms.1602878.
ISNAD	Yıldırım, Gökhan - Gezer, Melis. “An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321”. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication (June2025), 1-16. https://doi.org/10.15672/hujms.1602878.
JAMA	Yıldırım G, Gezer M. An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321. Hacettepe Journal of Mathematics and Statistics. 2025;:1–16.
MLA	Yıldırım, Gökhan and Melis Gezer. “An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, 2025, pp. 1-16, doi:10.15672/hujms.1602878.
Vancouver	Yıldırım G, Gezer M. An Explicit Bijection Between The Inversion Sequences Avoiding 0312 and 0321. Hacettepe Journal of Mathematics and Statistics. 2025(Advanced Online Publication):1-16.