C. Lamathe

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math.CO2003

Labelled and unlabelled enumeration of $k$ -gonal 2-trees

G. Labelle, C. Lamathe, P. Leroux

In this paper, we generalize 2-trees by replacing triangles by quadrilaterals, pentagons or $k$ -sided polygons ( $k$ -gons), where $k \geq 3$ is fixed. This generalization, to $k$ -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…

Labelled and unlabelled enumeration of k-gonal 2-trees

A classification of plane and planar 2-trees

Labelled and unlabelled enumeration of $k$ -gonal 2-trees