A generalization of Alternating Sign Matrices
Combinatorics
2013-09-05 v1
Abstract
In alternating sign matrices the first and last nonzero entry in each row and column is specified to be +1. Such matrices always exist. We investigate a generalization by specifying independently the sign of the first and last nonzero entry in each row and column to be either a +1 or a -1. We determine necessary and sufficient conditions for such matrices to exist.
Keywords
Cite
@article{arxiv.1309.1040,
title = {A generalization of Alternating Sign Matrices},
author = {Richard A. Brualdi and Hwa Kyung Kim},
journal= {arXiv preprint arXiv:1309.1040},
year = {2013}
}
Comments
14 pages