On Floors and Ceilings of the $k$-Catalan Arrangement

Electronic Journal Of Combinatorics

Marko Thiel¹ 

关键词: Fuss-Catalan combinatorics;    Catalan arrangement;    Floors;    Ceilings;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

The set of dominant regions of the $k$-Catalan arrangement of a crystallographic root system $\Phi$ is a well-studied object enumerated by the Fuß-Catalan number $Cat^{(k)}(\Phi)$. It is natural to refine this enumeration by considering floors and ceiling

【 授权许可】

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