The many faces of alternating-sign matrices
Combinatorics
2007-05-23 v1
Abstract
I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrices, height-function matrices, three-colorings, monotone triangles, tetrahedral order ideals, square ice, gasket-and-basket tilings and full packings of loops.
Cite
@article{arxiv.math/0208125,
title = {The many faces of alternating-sign matrices},
author = {James Propp},
journal= {arXiv preprint arXiv:math/0208125},
year = {2007}
}
Comments
22 pages, 16 figures; presented at "Discrete Models" conference (Paris, July 2001)