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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2001

The Many Faces of Alternating-Sign Matrices

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.
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Dates and versions

hal-01182972 , version 1 (06-08-2015)

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James Propp. The Many Faces of Alternating-Sign Matrices. Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, 2001, Paris, France. pp.43-58, ⟨10.46298/dmtcs.2292⟩. ⟨hal-01182972⟩

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