论文标题
奇数图，布鲁哈特订单和图案避免
Odd diagrams, Bruhat order, and pattern avoidance
论文作者
论文摘要
置换的奇数图是具有额外奇偶元条件的经典图的子集。在本文中，我们研究了使用相同奇数图的排列类，我们称之为奇数图类。首先，我们证明了与奇数图类别以及213-和312避免置换的猜想。其次，我们证明每个奇数图类都是一个bruhat间隔。对我们的证明的作用是对链接班级排列的Bruhat边缘的明确描述。
The odd diagram of a permutation is a subset of the classical diagram with additional parity conditions. In this paper, we study classes of permutations with the same odd diagram, which we call odd diagram classes. First, we prove a conjecture relating odd diagram classes and 213- and 312-avoiding permutations. Secondly, we show that each odd diagram class is a Bruhat interval. Instrumental to our proofs is an explicit description of the Bruhat edges that link permutations in a class.
