Alternating sign matrix enumeration involving numbers of inversions and -1's, and positions of boundary 1's

Behrend, Roger E. ORCID: https://orcid.org/0000-0002-6143-7439 2014. Alternating sign matrix enumeration involving numbers of inversions and -1's, and positions of boundary 1's. RIMS Kokyuroku 1913 , pp. 1-21.

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Abstract

This paper consists of a review of results for the exact enumeration of alternating sign matrices of fixed size with prescribed values of some or all of the following six statistics: the numbers of generalized inversions and -1's, and the positions of the 1's in the first and last rows and columns. Many of these results are expressed in terms of generating functions.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
ISSN:	1880-2818
Date of First Compliant Deposit:	30 March 2016
Last Modified:	02 May 2023 18:06
URI:	https://orca.cardiff.ac.uk/id/eprint/66836

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