9 citations · 11 across the 9 of their papers we have counts for
9 papers
Combinatorics of higher order degenerate -DERANGED Bell Numbers
Sithembele Nkonkobe
When one inserts a number of identical bars in between blocks of an ordered set partition, they obtain a barred preferential arrangement. In this study we define a new generalizati…
Partial degenerate Stirling numbers
Beáta Bényi, Sithembele Nkonkobe
In this paper, we study some combinations of the degenerate and incomplete Stirling numbers of the second kind. We use a combinatorial approach and provide some asymptotic results.
The Telephone Exchange Problem Revisited: A Combinatorial Approach
Sithembele Nkonkobe
In this study we revisit the telephone exchange problem. We discuss a generalization of the telephone exchange problem by discuss two generalizations of the Bessel polynomials. We…
Extended Equivalence of Fuzzy Sets
Venkat Murali, Sithembele Nkonkobe
Preferential equality is an equivalence relation on fuzzy subsets of finite sets and is a generalization of classical equality of subsets. In this paper we introduce a tightened ve…
A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements
Sithembele Nkonkobe, Beáta Bényi, Roberto B. Corcino +1
A barred preferential arrangement is a preferential arrangement, onto which in-between the blocks of the preferential arrangement a number of identical bars are inserted. We offer…
Generalised Barred Preferential Arrangements
Sithembele Nkonkobe, Venkat Murali, Béata Bényi
A barred preferential arrangement is a preferential arrangement onto which a number of identical bars are inserted in between the blocks of the preferential arrangement. In this st…
On some properties and relations between restricted barred preferential arrangements, multi-poly-Bernoulli numbers and related numbers
S. Nkonkobe, V. Murali
The introduction of bars in-between blocks of an ordered set partition(preferential arrangement) results in a barred ordered set partition(barred preferential arrange- ment). Havin…
On Some Identities of Barred Preferential Arrangements
S. Nkonkobe, V. Murali
A preferential arrangement of a finite set is an ordered partition. Associated with each such ordered partition is a chain of subsets or blocks endowed with a linear order. The cha…
A study of a family of generating functions of Nelsen-Schmidt type and some identities on restricted barred preferential arrangements
S. Nkonkobe, V. Murali
A preferential arrangement of a set is an ordered partition of the set induced with a linear order. Separation of blocks of a preferential arrangement wit…