Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647585 | Discrete Mathematics | 2014 | 9 Pages |
Abstract
R. S. Deodhar and M. K. Srinivasan defined a weight statistic on the set of involutions in the symmetric group and proved several results about the properties of this weight. These results include a recursion for a weight generating function, that the weight provides a grading for the set of fixed-point free involutions under a partial order related to the Bruhat partial order, and that this graded poset is EL-shellable and its order complex triangulates a ball. We extend the definition of weight to products of disjoint mm-cycles in the symmetric group, and we generalize all of the results of Deodhar and Srinivasan just mentioned to the case of any m≥2m≥2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Johnathon Upperman, C. Ryan Vinroot,