Noncrossing Partitions, Toggles, and Homomesies

Electronic Journal Of Combinatorics

David Einstein¹ 

关键词: Coxeter element;    Homomesy;    Involution;    Noncrossing partition;    Toggle group;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

We introduce $n(n-1)/2$ natural involutions ("toggles") on the set $S$ of noncrossing partitions $\pi$ of size $n$, along with certain composite operations obtained by composing these involutions. We show that for many operations $T$ of this kind, a surpr

【 授权许可】

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