6 citations · 11 across the 3 of their papers we have counts for
3 papers
math.CO2005★ 4 cited
Noncrossing partitions under rotation and reflection
David Callan, Len Smiley
We consider noncrossing partitions of [n] under the action of (i) the reflection group (of order 2), (ii) the rotation group (cyclic of order n) and (iii) the rotation/reflection g…
math.CO2000★ 6 cited
Completion of a Rational Function Sequence of Carlitz
Leonard M. Smiley
The exponential generating functions of {n^(n+m)} for arbitrary integer m are expressed as rational functions of the e.g.f. of {n^(n-1)} [the tree function] and then of the e.g.f.…
math.CO1999★ 1 cited
Variants of Schroeder Dissections
Leonard M. Smiley
Some formulae are given for the enumeration of certain types of dissections of the convex (n+2)-gon by non-crossing diagonals. The classical Schroeder and Motzkin numbers are addre…