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math.CO2009
Catalan numbers and relations
Filippo Disanto, Luca Ferrari, Renzo Pinzani +1
We define the notion of a Catalan pair (which is a pair of binary relations (S,R) satisfying certain axioms) with the aim of giving a common language to most of the combinatorial i…
math.CO2007
A closed formula for the number of convex permutominoes
Filippo Disanto, Andrea Frosini, Renzo Pinzani +1
In this paper we determine a closed formula for the number of convex permutominoes of size n. We reach this goal by providing a recursive generation of all convex permutominoes of…