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Showing 2006 · math.COShow all
3 papers · 2 filters
math.CO2006★ 1 cited
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…
math.CO2006
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…
math.CO2006★ 8 cited
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…