Permutations as Product of Parallel Transpositions

It was conjectured that a permutation matrix with bandwidth b can be written as a product of no more than 2b−1 permutation matrices of bandwidth 1. In this note, two proofs are given to affirm the conjecture.

Bibliographic Details
Main Authors: Albert, Chase, Li, Chi-Kwong, Strang, Gilbert, Yu, Gexin
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2012
Online Access:http://hdl.handle.net/1721.1/68631
https://orcid.org/0000-0001-7473-9287