The many faces of alternating-sign matrices

Details The many faces of alternating-sign matrices The many faces of alternating-sign matrices

2002-08-15

arxiv.org/abs/math/0208125v1

"Discrete Models: Combinatorics, Computation, and Geometry" (special issue of Discrete Mathematics and Theoretical Computer Sc

Mathematics

Combinatorics

22 pages, 16 figures; presented at "Discrete Models" conference (Paris, July 2001)

Scientific paper

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.

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