Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Tung-Shan Fu"'
Publikováno v:
SIAM Journal on Discrete Mathematics; 2024, Vol. 38 Issue 1, p917-946, 30p
For $k\ge 1$, the homogeneous symmetric functions $G(k,m)$ of degree $m$ defined by $\sum_{m\ge 0} G(k,m) z^m=\prod_{i\ge 1} \big(1+x_iz+x^2_iz^2+\cdots+x^{k-1}_iz^{k-1}\big)$ are called \emph{Petrie symmetric functions}. As derived by Grinberg and F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1acead64ea84f6135d0deb90e76a3268
Autor:
Chien-Tai Ting, Tung-Shan Fu
Publikováno v:
Taiwanese Journal of Mathematics. 25
Let the sign of a standard Young tableau (SYT) be the sign of the permutation obtained by reading the entries row by row from left to right, starting from the top row. By a sign-reversing involution on the tableaux in terms of lattice paths, we obtai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a23a3ab0e1fb50272d9d9987c025a02
https://doi.org/10.11650/tjm/210305
https://doi.org/10.11650/tjm/210305
Publikováno v:
Graphs and Combinatorics. 35:1337-1360
The genus of a permutation $$\sigma $$ of length n is the nonnegative integer $$g_{\sigma }$$ given by $$n+1-2g_{\sigma }={\textsf {cyc}}(\sigma )+{\textsf {cyc}}(\sigma ^{-1}\zeta _n)$$, where $${\textsf {cyc}}(\sigma )$$ is the number of cycles of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1af31a3a19c319ae83e21422556d7a0f
https://doi.org/10.1007/s00373-019-02111-5
https://doi.org/10.1007/s00373-019-02111-5
We study the generating function of descent numbers for the permutations with descent pairs of prescribed parities, the distribution of which turns out to be a refinement of median Genocchi numbers. We prove the $\gamma$-positivity for the polynomial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dddbf5be1a7397f6d32d3e6a8b8b250
We study the generating polynomial of the flag major index with each one-dimensional character, called signed Mahonian polynomial, over the colored permutation group, the wreath product of a cyclic group with the symmetric group. Using the insertion
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8939d543cbb28ee13052635707d86bb
Publikováno v:
European Journal of Combinatorics. 101:103478
For any integer m ≥ 2 and a set V ⊂ { 1 , … , m } , let ( m , V ) denote the union of congruence classes of the elements in V modulo m . We study the Hankel determinants for the number of Dyck paths with peaks avoiding the heights in the set (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::821c632e50de15e62f1d5bb3b8df9a3f
https://doi.org/10.1016/j.ejc.2021.103478
https://doi.org/10.1016/j.ejc.2021.103478
Publikováno v:
Advances in Applied Mathematics. 97:1-26
It is a classical result that the parity-balance of the number of weak excedances of all permutations (derangements, respectively) of length n is the Euler number E n , alternating in sign, if n is odd (even, respectively). Josuat-Verges obtained a q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97e2a51eb75b3c027190b7fce6ba35d5
https://doi.org/10.1016/j.aam.2018.02.004
https://doi.org/10.1016/j.aam.2018.02.004
Publikováno v:
Graphs and Combinatorics. 34:373-381
We present a simple transformation for the inversion number and major index statistics on the labelings of a rooted tree with n vertices in the form of a rake with k teeth. The special case $$k=0$$ provides a simple transformation for the Mahonian st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13438295825a0762e01490a77c78f850
https://doi.org/10.1007/s00373-018-1882-z
https://doi.org/10.1007/s00373-018-1882-z
Publikováno v:
Annals of Combinatorics. 21:43-71
In this paper, we establish a bijection between standard domino tableaux with at most three rows and partial Motzkin paths. Moreover, we establish a connection between skew standard domino tableaux with at most three rows and a variant of partial Mot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a57d54bd05b5e70031e0de86da16dbc
https://doi.org/10.1007/s00026-017-0340-6
https://doi.org/10.1007/s00026-017-0340-6