Characterizing Alternating Sign Triangles
Combinatorics
2021-10-06 v2
Abstract
Alternating sign triangles were introduced by Carroll and Speyer in relation to cube recurrence, by analogy to alternating sign matrices for octahedron recurrence. Permutation triangles are the alternating sign triangles whose entries are either 0 or 1, by analogy with permutation matrices. In this paper, we prove a simple characterization of permutation triangles, originally conjectured by Glick. We will also prove some properties of alternating sign triangles.
Keywords
Cite
@article{arxiv.2105.03969,
title = {Characterizing Alternating Sign Triangles},
author = {Son Nguyen},
journal= {arXiv preprint arXiv:2105.03969},
year = {2021}
}
Comments
12 pages, 11 figures