3 papers
math.CO2008
Some combinatorics related to central binomial coefficients: Grand-Dyck paths, coloured noncrossing partitions and signed pattern avoiding permutations
Luca Ferrari
We give some interpretations to certain integer sequences in terms of parameters on Grand-Dyck paths and coloured noncrossing partitions, and we find some new bijections relating G…
math.CO2008
Mixed succession rules: the commutative case
Silvia Bacchelli, Luca Ferrari, Renzo Pinzani +1
We begin a systematic study of the enumerative combinatorics of mixed succession rules, which are succession rules such that, in the associated generating tree, the nodes are allow…
math.CO2007
Production matrices and Riordan arrays
Emeric Deutsch, Luca Ferrari, Simone Rinaldi
We translate the concept of succession rule and the ECO method into matrix notation, introducing the concept of a production matrix. This allows us to combine our method with other…