Keresés
28 találatból megjelenítve: 1-10
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: 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: 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: Global coarse-grained mesoscale eddy statistics based on integrated kinetic energy and enstrophy correlations
Szerző: ; ; ;
Dátum: 2022
Feltöltve: 2023-02-14
(2022)
"Recently, introduced the concept of a "vortex proxy" based on an observation of strong correlations between integrated kinetic energy and integrated enstrophy over a large enough surface area. When mesoscale vortices are ...
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: 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: Mammal Extinction Facilitated Biome Shift and Human Population Change During the Last Glacial Termination in East-Central Europe
Szerző: ; ; ; ; ; ; ; ; ;
Dátum: 2022
Feltöltve: 2023-02-14
(2022)
"The study of local extinction times, together with the associated environmental and human population changes in the last glacial termination, provides insights into the causes of mega- and microfauna extinctions. In ...
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: 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: 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 ...