On Flow Polytopes, Order Polytopes, and Certain Faces of the Alternating Sign Matrix Polytope
On Flow Polytopes, Order Polytopes, and Certain Faces of the Alternating Sign Matrix Polytope
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New York: Springer US
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English
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New York: Springer US
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We study an alternating sign matrix analogue of the Chan–Robbins–Yuen polytope, which we call the ASM-CRY polytope. We show that this polytope has Catalan many vertices and its volume is equal to the number of standard Young tableaus of staircase shape; we also determine its Ehrhart polynomial. We achieve the previous by proving that the members of...
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On Flow Polytopes, Order Polytopes, and Certain Faces of the Alternating Sign Matrix Polytope
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TN_cdi_proquest_journals_2191705252
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2191705252
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ISSN
0179-5376
E-ISSN
1432-0444
DOI
10.1007/s00454-019-00073-2
