Lattice Points and Simultaneous Core Partitions

Electronic Journal Of Combinatorics

Paul Johnson¹ 

关键词: Partitions;    Rational Catalan Combinatorics;    Ehrhart Theory;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

We apply lattice point techniques to the study of simultaneous core partitions. Our central observation is that for $a$ and $b$ relatively prime, the abacus construction identifies the set of simultaneous $(a,b)$-core partitions with lattice points in a r

【 授权许可】

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