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pro vyhledávání: '"Sun, Yidong"'
A generalized Motzkin path, called G-Motzkin path for short, of length $n$ is a lattice path from $(0, 0)$ to $(n, 0)$ in the first quadrant of the XOY-plane that consists of up steps $\mathbf{u}=(1, 1)$, down steps $\mathbf{d}=(1, -1)$, horizontal s
Externí odkaz:
http://arxiv.org/abs/2204.07906
A generalized Motzkin path, called G-Motzkin path for short, of length $n$ is a lattice path from $(0, 0)$ to $(n, 0)$ in the first quadrant of the XOY-plane that consists of up steps $\mathbf{u}=(1, 1)$, down steps $\mathbf{d}=(1, -1)$, horizontal s
Externí odkaz:
http://arxiv.org/abs/2201.09236
Recently, several authors have considered lattice paths with various steps, including vertical steps permitted. In this paper, we consider a kind of generalized Motzkin paths, called {\it G-Motzkin paths} for short, that is lattice paths from $(0, 0)
Externí odkaz:
http://arxiv.org/abs/2201.09231
The concepts of symmetric and asymmetric peaks in Dyck paths were introduced by Fl\'{o}rez and Ram\'{\i}rez, who counted the total number of such peaks over all Dyck paths of a given length. Elizalde generalized their results by giving multivariate g
Externí odkaz:
http://arxiv.org/abs/2112.13584
This paper concentrates on the set $\mathcal{V}_n$ of weighted Dyck paths of length $2n$ with special restrictions on the level of valleys. We first give its explicit formula of the counting generating function in terms of certain weight functions. W
Externí odkaz:
http://arxiv.org/abs/2112.13629
Autor:
Sun, Cheng, Sun, Yidong
Publikováno v:
In Linear Algebra and Its Applications 15 December 2023 679:194-219
Autor:
Sun, Yidong, Zhai, Liting
In recent, H. Sun defined a new kind of refined Eulerian polynomials, namely, \begin{eqnarray*} A_n(p,q)=\sum_{\pi\in \mathfrak{S}_n}p^{{\rm odes}(\pi)}q^{{\rm edes}(\pi)} \end{eqnarray*} for $n\geq 1$, where ${odes}(\pi)$ and ${edes}(\pi)$ enumerate
Externí odkaz:
http://arxiv.org/abs/1810.07956
Recursive matrices are ubiquitous in combinatorics, which have been extensively studied. We focus on the study of the sums of $2\times 2$ minors of certain recursive matrices, the alternating sums of their $2\times 2$ minors, and the sums of their $2
Externí odkaz:
http://arxiv.org/abs/1808.05736
Publikováno v:
Graphs & Combinatorics. Oct2023, Vol. 39 Issue 5, p1-23. 23p.
Publikováno v:
In Chemosphere February 2022 288 Part 1