36 citations · 89 across the 20 of their papers we have counts for
4 papers · 1 filter
Restricted Motzkin permutations, Motzkin paths, continued fractions, and Chebyshev polynomials
Sergi Elizalde, Toufik Mansour
We say that a permutation is a Motzkin permutation if it avoids 132 and there do not exist such that . We study the distribution of several statistics in…
A bijection between 2-triangulations and pairs of non-crossing Dyck paths
Sergi Elizalde
A k-triangulation of a convex polygon is a maximal set of diagonals so that no k+1 of them mutually cross in their interiors. We present a bijection between 2-triangulations of a c…
Restricted Dumont permutations, Dyck paths, and noncrossing partitions
Alexander Burstein, Sergi Elizalde, Toufik Mansour
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some…
Bounds on the number of inference functions of a graphical model
Sergi Elizalde, Kevin Woods
Directed and undirected graphical models, also called Bayesian networks and Markov random fields, respectively, are important statistical tools in a wide variety of fields, ranging…