Keresés
1 találatból megjelenítve: 11-27
Cím: A Bijection for the Boolean Numbers of Ferrers Graphs
Szerző:
Dátum: 2022
Feltöltve: 2022-04-13
(Springer Japan, 2022)
In this note we prove a new characterization of the derangement sets of Ferrers graphs and present a bijection between the derangement sets and Fλ-Callan sequences. In particular, this connection reveals that the boolean ...
Cím: On q-Poly-Bernoulli Numbers Arising from Combinatorial Interpretations
Szerző: ;
Dátum: 2021
Feltöltve: 2022-09-09
(2021)
In this paper we present several natural q-analogues of the poly-Bernoulli numbers arising in combinatorial contexts. We also recall some relating analytical results and ask for combinatorial interpretations.
Cím: A Combinatorial Analysis of Higher Order Generalised Geometric Polynomials: A Generalisation of Barred Preferential Arrangements
Szerző: ; ; ;
Dátum: 2020
Feltöltve: 2023-02-16
(2020)
Abarredpreferentialarrangementisapreferentialarrangement,ontowhichin-between the blocks of the preferential arrangement a number of identical bars are inserted. We offer a generalisation of barred preferential arrangements ...
Cím: Weak Ascent Sequences and Related Combinatorial Structures
Szerző: ; ;
Dátum: 2023
Feltöltve: 2023-02-14
(2023)
In this paper we introduce weak ascent sequences, a class of number sequences that properly contains ascent sequences. We show how these sequences uniquely encode each of the following objects: permutations avoiding a ...
Cím: Mixed Coloured Permutations
Szerző: ;
Dátum: 2020
Feltöltve: 2023-02-16
(2020)
In this paper, we introduce mixed coloured permutations, permutations with certain coloured cycles, and study the enumerative properties of these combinatorial objects. We derive the generating function, closed forms, ...
Cím: Generalized Ordered Set Partitions
Szerző: ; ;
Dátum: 2020
Feltöltve: 2023-02-16
(2020)
In this paper, we consider ordered set partitions obtained by imposing conditions on the size of the lists, and such that the first r elements are in distinct blocks, respectively. We introduce a generalization of the Lah ...
Cím: On the Combinatorics of Symmetrized Poly-Bernoulli Bumbers
Szerző: ;
Dátum: 2021
Feltöltve: 2023-02-16
(2021)
In this paper we introduce three combinatorial models for symmetrized poly- Bernoulli numbers. Based on our models we derive generalizations of some identities for poly-Bernoulli numbers. Finally, we set open questions and ...
Cím: Combinatorial Proof of an Identity on Genocchi Numbers
Szerző: ;
Dátum: 2021
Feltöltve: 2023-02-20
(2021)
In this note we present a combinatorial proof of an identity involving poly-Bernoullinumbers and Genocchi numbers. We introduce combinatorial objects calledm-barredCallan sequences and use them to show that the identity ...
Cím: Toppling on Permutations with an Extra Chip
Szerző: ;
Dátum: 2021
Feltöltve: 2023-02-16
(2021)
The study of toppling on permutations with an extra labeled chip was initiated by the first author with D. Hathcock and P. Tetali (arXiv:2010.11236), where the extra chip was added in the middle. We extend this to all ...
Cím: Unfair distributions counted by the generalized Stirling numbers
Szerző: ; ;
Dátum: 2022
Feltöltve: 2023-02-17
(2022)
We investigate the generalized Stirling numbers S(n, k; α, β, γ) introduced by Hsu
and Shiue from a combinatorial point of view. We present a combinatorial interpretation in terms of certain restricted distributions of ...
Cím: Poly-Bernoulli Numbers and Eulerian Numbers
Szerző: ;
Dátum: 2018
Feltöltve: 2023-02-20
(2018)
In this note we prove, using combinatorial arguments, some new formulas connecting Poly-Bernoulli numbers with negative indices to Eulerian numbers.
Cím: Some applications of S-restricted set partitions
Szerző: ;
Dátum: 2019
Feltöltve: 2023-02-20
(2019)
In the paper, the authors present several new relations and applications for the combinatorialsequence that counts the possible partitions of a finite set with the restriction that the size ofeach block is contained in a ...
Cím: Mixed Restricted Stirling Numbers
Szerző: ; ; ;
Dátum: 2019
Feltöltve: 2023-02-20
(2019)
We investigate mixed partitions with extra condition on the sizes of the blocks. We give a general formula and the generating function. We consider in more details a special case, determining the generating functions, some ...
Cím: On Higher Order Generalized Geometric Polynomials with Shifted Parameters
Szerző: ; ;
Dátum: 2022
Feltöltve: 2023-02-20
(2022)
We study a special class of higher order generalized geometric polynomials. Based on our combinatorial interpretation of labeled barred preferential arrangements, we prove several recursions. We also study the polynomials ...
Cím: Poly-Cauchy numbers of the second kind - the combinatorics behind
Szerző: ;
Dátum: 2022
Feltöltve: 2023-09-11
(2022)
We introduce poly-Cauchy permutations of the second kind that are enumerated by the polyCauchy numbers of the second kind. We provide combinatorial proofs for several identities involving polyCauchy numbers of the second ...
Cím: Combinatorial Aspects of Poly-Bernoulli Polynomials and Poly-Euler Numbers
Szerző: ;
Dátum: 2022
Feltöltve: 2023-03-07
(2022)
In this article, we introduce combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers of both kinds. As their applications,we provide combinatorial proofs of some identities involving poly-Bernoullipolynomials.
Cím: Probabilistic Stirling numbers and applications
Szerző: ;
Dátum: 2024
Feltöltve: 2024-05-22
(2024)
We introduce probabilistic Stirling numbers of the first kind s_Y(n,k) s Y ( n , k ) associated with a complex-valued random variable Y satisfying appropriate integrability conditions, thus completing the notion of ...