1 citations · 1 across the 10 of their papers we have counts for
18 papers
On a characterization of exponential and double exponential distributions
Reza Rastegar, Alex Roitershtein
Recently, G.~Yanev obtained a characterization of the exponential family of distributions in terms of a functional equation for certain mixture densities. The purpose of this note…
Subregularity in infinitely labeled generating trees of restricted permutations
Toufik Mansour, Reza Rastegar, Mark Shattuck
In this paper, we revisit the application of generating trees to the pattern avoidance problem for permutations. In particular, we study this problem for certain general sets of pa…
On column-convex and convex Carlitz polyominoes
Mansour Toufik, Reza Rastegar, Armend Shabani
In this paper, we introduce and study {\it Carlitz polyominoes}. In particular, we show that, as grows to infinity, asymptotically the number of \begin{enumerate} \item column-…
Fixed points of a random restricted growth sequence
Toufik Mansour, Reza Rastegar
We call a fixed point of a given sequence if the value of that sequence at the -th position coincides with . Here, we enumerate fixed points in the class of restricted gr…
Enumeration of Various Animals on the Triangular Lattice
Reza Rastegar, Toufik Mansour
In this paper, we consider various classes of polyiamonds that are animals residing on the triangular lattice. By careful analyses through certain layer-by-layer decompositions and…
Convex polyominoes revisited: Enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees
Toufik Mansour, Reza Rastegar
The main contribution of this paper is a new column-by-column method for the decomposition of generating functions of convex polyominoes suitable for enumeration with respect to va…