An explicit bijection between the inversion sequences avoiding 0312 and 0321

We present an explicit bijection between the set of inversion sequences avoiding the patterns 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

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-06-24
DOI
https://doi.org/10.15672/hujms.1602878
Primary Topic
Algorithms and Data Compression
Type
article
Field-Weighted Citation Impact
0.00

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article

An explicit bijection between the inversion sequences avoiding 0312 and 0321

Gökhan Yıldırım, Melis Gezer
Hacettepe Journal of Mathematics and Statistics
Algorithms and Data Compression
article

An explicit bijection between the inversion sequences avoiding 0312 and 0321

Gökhan Yıldırım, Melis Gezer
article en

Abstract

We present an explicit bijection between the set of inversion sequences avoiding the patterns 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

Hacettepe Journal of Mathematics and StatisticsVol. 55(1)
Dakota State University (US), Bilkent University (TR), North Dakota State University (US)
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu
Openalex Percentile: Top 93%
Algorithms and Data Compression
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