Keresés
1 találatból megjelenítve: 1-6
Cím: Set partitions and non-crossing partitions with l-neighbors and l-isolated elements
Szerző: ; ;
Dátum: 2022
Feltöltve: 2023-02-14
(2022)
In this paper we introduce the notion of an -neighbor element of set partitions, that is, an element a in a block that contains +1 consecutive elements, among which is a . Elements that are not -neighbors are called -isolated ...
Cím: Bijective enumerations of ?-free 0–1 matrices
Szerző: ;
Dátum: 2018
Feltöltve: 2023-02-20
(2018)
We construct a new bijection between the set of n × k 0–1 matrices with no three 1’s forming a ? configuration and the set of ( n, k )-Callan sequences, a simple structure counted by poly-Bernoulli numbers. We give two ...
Cím: Restricted r-Stirling Numbers and Their Combinatorial Applications
Szerző: ; ; ;
Dátum: 2019
Feltöltve: 2023-02-20
(2019)
We study set partitions with r distinguished elements and block sizes found in an arbitrary index set S . The enumeration of these ( S, r )-partitions leads to the introduc- tion of ( S, r )-Stirling numbers, an extremely ...
Cím: Restricted Lonesum Matrices
Szerző:
Dátum: 2018
Feltöltve: 2023-02-20
(2018)
"Lonesum matrices are matrices that are uniquely reconstructible from their row and column sum vectors. These matrices are enumerated by the poly-Bernoulli numbers"," a sequence related to the multiple zeta values with a ...
Cím: Generalized barred preferential arrangements
Szerző: ; ; ;
Dátum: 2023
Feltöltve: 2023-09-11
(2023)
We investigate a generalization of Fubini numbers. We present the combinatorial interpretation as barred preferential arrangements with some additional conditions on the blocks. We provide a proof for a generalization of ...
Cím: Remarkable relations between the central binomial series, Eulerian polynomials, and poly-Bernoulli numbers, leading to Stephan's observation
Szerző: ;
Dátum: 2023
Feltöltve: 2024-01-25
(2023)
The central binomial series at negative integers are expressed as a linear combination of values of certain two polynomials. We show that one of the polynomials is a special value of the bivariate Eulerian polynomial and ...