The Many Faces of Alternating-Sign Matrices
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-baske...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2001-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/2292/pdf |
| _version_ | 1797270665953280000 |
|---|---|
| author | James Propp |
| author_facet | James Propp |
| author_sort | James Propp |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-25T02:07:53Z |
| format | Article |
| id | doaj.art-ffa0119c56624f299e9c07d862aff56d |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:07:53Z |
| publishDate | 2001-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-ffa0119c56624f299e9c07d862aff56d2024-03-07T14:27:42ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502001-01-01DMTCS Proceedings vol. AA,...Proceedings10.46298/dmtcs.22922292The Many Faces of Alternating-Sign MatricesJames Propp0Department 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://dmtcs.episciences.org/2292/pdfalternating-sign matricestilings[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] |
| spellingShingle | James Propp The Many Faces of Alternating-Sign Matrices Discrete Mathematics & Theoretical Computer Science 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] |
| title | The Many Faces of Alternating-Sign Matrices |
| title_full | The Many Faces of Alternating-Sign Matrices |
| title_fullStr | The Many Faces of Alternating-Sign Matrices |
| title_full_unstemmed | The Many Faces of Alternating-Sign Matrices |
| title_short | The Many Faces of Alternating-Sign Matrices |
| title_sort | many faces of alternating sign matrices |
| topic | 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] |
| url | https://dmtcs.episciences.org/2292/pdf |
| work_keys_str_mv | AT jamespropp themanyfacesofalternatingsignmatrices AT jamespropp manyfacesofalternatingsignmatrices |