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Counting signed vexillary permutations
Advances in Applied Mathematics ( IF 1.0 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.aam.2020.102106
Yibo Gao , Kaarel Hänni

Abstract We show that the number of signed permutations avoiding 1234 equals the number of signed permutations avoiding 2143 (also called vexillary signed permutations), resolving a conjecture by Anderson and Fulton. The main tool that we use is the generating tree developed by West. Many further directions are mentioned in the end.

中文翻译:

计数有符号的vexillary排列

摘要 我们证明了避开 1234 的有符号排列的数量等于避开 2143 的有符号排列的数量(也称为 vexillary 有符号排列),解决了 Anderson 和 Fulton 的猜想。我们使用的主要工具是 West 开发的生成树。最后提到了许多进一步的方向。
更新日期:2020-10-01
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