Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646752 | Discrete Mathematics | 2016 | 4 Pages |
Abstract
Given a wiring diagram (pseudo-line arrangement) of a permutation w∈Snw∈Sn, the chambers can be labeled with subsets of [n][n] and they are called chamber sets. In this short note, we show that two wiring diagrams (of same ww), can be mutated from one to another via the usual moves (coming from nil and braid relations), while freezing the chamber sets they have in common.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
SuHo Oh,