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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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Submitted on : Thursday, August 6, 2015 - 11:43:40 AM
Last modification on : Thursday, July 4, 2019 - 3:10:03 PM
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  • HAL Id : hal-01182972, version 1



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



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