19 citations · 69 across the 13 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
math.CO2005★ 6 cited
On conjugates for set partitions and integer compositions
David Callan
There is a familiar conjugate for integer partitions: transpose the Ferrers diagram, and a conjugate for integer compositions: transpose a Ferrers-like diagram. Here we propose a c…
math.CO2005★ 2 cited
A combinatorial interpretation of the eigensequence for composition
David Callan
The monic sequence that shifts left under convolution with itself is the Catalan numbers with 130+ combinatorial interpretations. Here we establish a combinatorial interpretation f…
math.CO2005★ 2 cited
Some identities for the Catalan and Fine numbers
David Callan
We establish combinatorial interpretations of several identities for the Catalan and Fine numbers and, along the way, we present some new bijections of independent interest. Briefl…