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pro vyhledávání: '"Yan, Sherry"'
Motivated by Kitaev and Zhang's recent work on non-overlapping ascents in stack-sortable permutations and Dumont's permutation interpretation of the Jacobi elliptic functions, we investigate some parity statistics on restricted permutations. Some new
Externí odkaz:
http://arxiv.org/abs/2409.01558
A pair $(\mathrm{st_1}, \mathrm{st_2})$ of permutation statistics is said to be $r$-Euler-Mahonian if $(\mathrm{st_1}, \mathrm{st_2})$ and $( \mathrm{rdes}$, $\mathrm{rmaj})$ are equidistributed over the set $\mathfrak{S}_{n}$ of all permutations of
Externí odkaz:
http://arxiv.org/abs/2408.04185
Autor:
Zhou, Robin D. P., Yan, Sherry H. F.
As a natural generalization of permutations, transversals of Young diagrams play an important role in the study of pattern avoiding permutations. Let $\mathcal{T}_{\lambda}(\tau)$ and $\mathcal{ST}_{\lambda}(\tau)$ denote the set of $\tau$-avoiding t
Externí odkaz:
http://arxiv.org/abs/2306.04382
Let $\mathcal{S}_n(\pi)$ (resp. $\mathcal{I}_n(\pi)$ and $\mathcal{AI}_n(\pi)$) denote the set of permutations (resp. involutions and alternating involutions) of length $n$ which avoid the permutation pattern $\pi$. For $k,m\geq 1$, Backelin-West-Xin
Externí odkaz:
http://arxiv.org/abs/2212.01800
Autor:
Zhou, Robin D. P.1 (AUTHOR), Yan, Sherry H. F.2 (AUTHOR) hfy@zjnu.cn
Publikováno v:
Annals of Combinatorics. Sep2024, Vol. 28 Issue 3, p977-1002. 26p.
We prove that the number of even parts and the number of times that parts are repeated have the same distribution over integer partitions with a fixed perimeter. This refines Straub's analog of Euler's Odd-Distinct partition theorem. We generalize th
Externí odkaz:
http://arxiv.org/abs/2204.02879
Autor:
Yang, Lihong, Yan, Sherry H. F.
The notion of shuffle-compatible permutation statistics was implicit in Stanley's work on P-partitions and was first explicitly studied by Gessel and Zhuang. The aim of this paper is to prove that the triple ${\rm (udr, pk, des)}$ is shuffle-compatib
Externí odkaz:
http://arxiv.org/abs/2201.06784
Pondering upon the grammatical labeling of 0-1-2 increasing plane trees, we come to the realization that the grammatical labels play a role as records of chopped off leaves of the original increasing binary trees. While such an understanding is purel
Externí odkaz:
http://arxiv.org/abs/2111.04098
Publikováno v:
In Discrete Mathematics July 2024 347(7)
Autor:
Lin, Zhicong, Yan, Sherry H. F.
For a finite subset $A$ of $\mathbb{Z}_{>0}$, Lazar and Wachs (2019) conjectured that the number of cycles on $A$ with only even-odd drops is equal to the number of D-cycles on $A$. In this note, we introduce cycles on a multiset with only even-odd d
Externí odkaz:
http://arxiv.org/abs/2108.03790