191 citations · 293 across the 22 of their papers we have counts for
8 papers · 1 filter
Graph binomial coefficients and a positivity conjecture of Guo and Krattenthaler
Madjid Mirzavaziri, Daniel Yaqubi
We investigate Conjecture 7.4 of Guo and Krattenthaler \cite{GK}, which predicts that for every positive integer , the polynomial \[ P_n(q) = \frac{(1-q)^2}{(1-q^{10n-1})(1-q^{1…
Riordan Arrays and Shifted Hankel Determinants of OEIS A005773
Daniel Yaqubi, Madjid Mirzavaziri
We study two Riordan arrays associated with the Motzkin-prefix sequence (\href{https://oeis.org/A005773}{OEIS A005773}). By connecting their production matrices through a simple bo…
Cyclic Latin Eulerian Numbers
Madjid Mirzavaziri, Daniel Yaqubi
We introduce the directed cyclic difference inventory to study Latin Eulerian numbers restricted to row-reorderings of the cyclic Latin square, offering an orient…
Latin Eulerian Numbers
Madjid Mirzavaziri, Daniel Yaqubi
We introduce \emph{Latin Eulerian numbers} $\LE{n\atop k_1,\dots,k_n}$, a multivariate refinement of classical Eulerian numbers counting order- Latin squares by column ascents.…
A Combinatorial Problem in Cinema Seating
Madjid Mirzavaziri, Daniel Yaqubi
We address a problem concerning cinema audiences: ``A cinema has seats numbered from to , and there are people with tickets numbered from to . People enter th…
Prime and Touchard Congruences of Mixed-Type Bell Numbers
Daniel Yaqubi, Madjid Mirzavaziri
This paper establishes a comprehensive combinatorial and arithmetic framework for mixed Stirling and mixed Bell numbers, bridging partition structures, Touchard polynomials, and pr…
Arithmetic Properties of Mixed Stirling Numbers of the second kind
Daniel Yaqubi, Madjid Mirzavaziri
We investigate the mixed Stirling numbers of the second kind, , which count partitions of distinct elements into unlabeled and labeled non-e…
On the Graphical -Stirling Numbers of the First Kind for Specific Graph Families
Daniel Yaqubi, Madjid Mirzavaziri
This paper investigates the \textbf{graphical -Stirling numbers of the first kind}, denoted by $\str{G}{k}$, which enumerate partitions of a vertex set into disjoint…