长度为 4 的图案的 Wilf 等价性的进一步完善

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2024-01-25 DOI:10.1016/j.jcta.2024.105863

Robin D.P. Zhou , Yongchun Zang , Sherry H.F. Yan

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引用次数: 0

摘要

在本文中，我们构建了 3142 避开排列和 3241 避开排列之间的偏射，证明了五个经典的集值统计的等分布。我们的偏射还使我们能够建立 3142 避开排列与 4132- 避开排列之间的偏射，以及 2413-avoiding permutations 与 1423-avoiding permutations 之间的偏射，这两个偏射都保留了五个经典的集值统计量。我们的结果是对布尔斯坦提出的几个猜想的概括。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Further refinements of Wilf-equivalence for patterns of length 4

In this paper, we construct a bijection between 3142-avoiding permutations and 3241-avoiding permutations which proves the equidistribution of five classical set-valued statistics. Our bijection also enables us to establish a bijection between 3142-avoiding permutations and 4132-avoiding permutations, and a bijection between 2413-avoiding permutations and 1423-avoiding permutations, both of which preserve five classical set-valued statistics. Our results are generalizations of several conjectures posed by Burstein.

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.