3 papers
math.CO2003
Labelled and unlabelled enumeration of -gonal 2-trees
G. Labelle, C. Lamathe, P. Leroux
In this paper, we generalize 2-trees by replacing triangles by quadrilaterals, pentagons or -sided polygons (-gons), where is fixed. This generalization, to -gon…
math.CO2002
A classification of plane and planar 2-trees
G. Labelle, C. Lamathe, P. Leroux
We present new functional equations for the species of plane and of planar (in the sense of Harary and Palmer, 1973) 2-trees and some associated pointed species. We then deduce the…
math.CO1998
Enumeration of m-ary cacti
Miklos Bona, Michel Bousquet, Gilbert Labelle +1
The purpose of this paper is to enumerate various classes of cyclically colored m-gonal plane cacti, called m-ary cacti. This combinatorial problem is motivated by the topological…