97 citations · 499 across the 139 of their papers we have counts for
9 papers · 2 filters
Avoiding a pair of patterns in multisets and compositions
Vít Jelínek, Toufik Mansour, José L. Ramírez +1
In this paper, we study the Wilf-type equivalence relations among multiset permutations. We identify all multiset equivalences among pairs of patterns consisting of a pattern of le…
Enumerating circular permutations avoiding the vincular pattern 23 4 1
Toufik Mansour, Mark Shattuck
In this paper, we find an explicit formula for the generating function that counts the circular permutations of length n avoiding the pattern 23 4 1 whose enumeration was raised as…
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…
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…
Equivalence of the Descents Statistic on Some (4,4)-Avoidance Classes of Permutations
Toufik Mansour, Mark Shattuck
In this paper, we compute and demonstrate the equivalence of the joint distribution of the first letter and descent statistics on six avoidance classes of permutations correspondin…
On a conjecture of Lin and Kim concerning a refinement of Schröder numbers
Toufik Mansour, Mark Shattuck
In this paper, we compute the distribution of the first letter statistic on nine avoidance classes of permutations corresponding to two pairs of patterns of length four. In particu…