James Propp - The Many Faces of Alternating-Sign Matrices

dmtcs:2292 - Discrete Mathematics & Theoretical Computer Science, January 1, 2001, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) - https://doi.org/10.46298/dmtcs.2292
The Many Faces of Alternating-Sign Matrices

Authors: James Propp 1

  • 1 Department of Mathematics [Madison]

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.

https://doi.org/10.46298/dmtcs.2292
Source: HAL:hal-01182972v1
Volume: DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)
Section: Proceedings
Published on: January 1, 2001
Imported on: November 21, 2016
Keywords: Alternating-Sign Matrices,Tilings,[INFO] Computer Science [cs],[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]

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Source : ScholeXplorer IsRelatedTo ARXIV 0711.2150
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0711.2150
  • 0711.2150
  • 10.48550/arxiv.0711.2150
Keys and alternating sign matrices

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