6 citations · 11 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
The longest increasing subsequence in involutions avoiding 3412 and another pattern
Toufik Mansour, Reza Rastegar, Alexander Roitershtein +1
In this note, we study the mean length of the longest increasing subsequence of a uniformly sampled involution that avoids the pattern and another pattern.