Ranking patterns of unfolding models of codimension one
Ranking patterns of unfolding models of codimension one
复制标题
余维一展开模型的排序模式
DOI：
10.1016/j.aam.2010.11.002
复制
发表时间：
2011
影响因子：
1.1
通讯作者：
A. Takemura and Hiroaki Terao
中科院分区：
文献类型：
--
作者：
Hidehiko Kamiya;A. Takemura and Hiroaki Terao
我们考虑的问题，计算可能的排名集（称为排名模式）所产生的展开模型的余维1的数量。我们表示的排名模式的编织安排切片，并显示所有的编织切片，包括那些不与展开模型，是在一对一的对应关系与室的安排。通过识别与展开模型相关的那些，我们找到了排名模式的数量。我们还给出了一个上限的排名模式的数量时，由一个排列的对象的差异被忽略。
We consider the problem of counting the number of possible sets of rankings (called ranking patterns) generated by unfolding models of codimension one. We express the ranking patterns as slices of the braid arrangement and show that all braid slices, including those not associated with unfolding models, are in one-to-one correspondence with the chambers of an arrangement. By identifying those which are associated with unfolding models, we find the number of ranking patterns. We also give an upper bound for the number of ranking patterns when the difference by a permutation of objects is ignored.