6 papers
Some Families of Type Set Partitions Counted by the Dowling Numbers
Per Alexandersson, Fufa Beyene, Roberto Mantaci
In this paper, we study type set partitions without zero block. Certain classes of these partitions, such as merging-free and separated partitions (enumerated by the Dowling nu…
Permutations with non-decreasing transposition array and pattern avoidance
Fufa Beyene, Roberto Mantaci
We give some results about a bijection associating each permutation with a subexcedant function. This function is related to a particular decomposition of the permutation as a prod…
Merging-Free Partitions and Run-Sorted Permutations
Fufa Beyene, Roberto Mantaci
In this paper, we study merging-free partitions with their canonical forms and run-sorted permutations. We give a combinatorial proof of the conjecture made by Nabawanda et al. We…
Set Partitions and Other Bell Number Enumerated Objects
Fufa Beyene, Jörgen Backelin, Roberto Mantaci +1
In this paper, we study classes of subexcedant functions enumerated by the Bell numbers and present bijections on set partitions. We present a set of permutations whose transpositi…
A recursive structure of sand pile model and its applications
Wenjie Fang, Roberto Mantaci
The Sand Pile Model (SPM) and its generalization, the Ice Pile Model (IPM), originate from physics and have various applications in the description of the evolution of granular sys…
Structure of some sand pile model
M. Latapy, R. Mantaci, M. Morvan +1
SPM (Sand Pile Model) is a simple discrete dynamical system used in physics to represent granular objects. It is deeply related to integer partitions, and many other combinatorics…