2 citations · 3 across the 5 of their papers we have counts for
6 papers
Symmetric tensor powers of graphs
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul +5
The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor power…
Some Connections Between Restricted Dyck Paths, Polyominoes, and Non-Crossing Partitions
Rigoberto Flórez, José L. Ramírez, Fabio A. Velandia +1
A \emph{Dyck path} is a lattice path in the first quadrant of the -plane that starts at the origin, ends on the -axis, and consists of the same number of North-East steps $U…
New modular symmetric function and its applications: Modular -Stirling numbers
Bazeniar Abdelghafour, Moussa Ahmia, José L. Ramírez +1
In this paper, we consider a generalization of the Stirling number sequence of both kinds by using a specialization of a new family of symmetric functions. We give combinatorial in…
Restricted Dyck Paths on Valleys Sequence
Rigoberto Flórez, Toufik Mansour, José L. Ramírez +2
In this paper we study a subfamily of a classic lattice path, the \emph{Dyck paths}, called \emph{restricted -Dyck} paths, in short -Dyck. A valley of a Dyck path is a lo…
Arithmetic properties of the sum of divisors
Tewodros Amdeberhan, Victor H. Moll, Vaishavi Sharma +1
The divisor function denotes the sum of the divisors of the positive integer . For a prime and , the -adic valuation of is the highest power…
Combinatorial and Arithmetical Properties of the Restricted and Associated Bell and Factorial Numbers
Victor H. Moll, José L. Ramirez, Diego Villamizar
Set partitions and permutations with restrictions on the size of the blocks and cycles are important combinatorial sequences. Counting these objects lead to the sequences generaliz…