论文标题

关于完美匹配的深度指数的分布

On distribution of the depth index on perfect matchings

论文作者

Cherniavsky, Yonah, Khachatryan-Raziel, Yuval

论文摘要

我们研究了深度指数统计量对一系列完美匹配的限制。特别是,我们为完美匹配的统计量提供了其他组合描述,并计算生成多项式。本简短论文的主要结果是,完美匹配的深度索引与Bruhat顺序的等级函数相等。

We study the restriction of depth index statistic on the set of perfect matchings. In particular, we provide additional combinatorial description of the statistic for perfect matchings and calculate the generating polynomial. The main result of the present short paper is that the depth index on perfect matchings is equidistributed with the rank function of the Bruhat order.

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