Permutation Pattern Avoidance in the Alternating Sign Matrices
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.
Authors
- Sani Abba (ORCID: https://orcid.org/0009-0002-2097-1560)
- Usman Sanusi (ORCID: https://orcid.org/0009-0001-7951-0956)
Institutions
- University of Eswatini (SZ)
- Umaru Musa Yar'adua University (NG)
Publication Details
- Journal
- UMYU Scientifica
- Published
- 2024-12-30
- DOI
- https://doi.org/10.56919/usci.2434.033
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00