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Title: | Mahonian statistics and vincular patterns on permutations over multisets | Authors: | Ta Thi Phuong Lien | Keywords: | Mahonian statistics;Vincular patterns | Issue Date: | 2022 | Abstract: | In this thesis, we determine combinations of vincular pattern extension of mad and madl in Clarke, Steingr´ımsson and Zeng’s paper, which have been proved to be Mahonian on the repetitive permutations. This result will be used to support the proof of Mahonity of the new statistics extensions. We show that these new statistics extensions are also Mahonian by constructing an involution Φ on repetitive permutations, which preserves the descents statistics and transforms new statistics extensions to Mahonian mad and madl extensions of [CSZ97] |
URI(1): | https://epub.vgu.edu.vn/handle/dlibvgu/1286 |
Appears in Collections: | Computer Science (CS) |
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