Permutation Pattern Avoidance in the Alternating Sign Matrices
Year: 2024
Type: article
Abstract: We represented permutations using matrices. In the alternating sign matrices, the idea of pattern avoidance in permutation matrices with reference to Aunu Permutations is examined. The primary outcome is that the Catalan numbers count the set of alternating sign matrices related to Aunu Permutations that do not follow pattern 213. Both a bijective and an algebraic proof are given.
Source: UMYU Scientifica
Authors: Sani Abba, Usman Sanusi, Sulaiman Sani
Institutions: Umaru Musa Yar'adua University, University of Eswatini
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408623585