2 citations · 4 across the 9 of their papers we have counts for
9 papers
On generating series of complementary planar trees
Roland Bacher
We generalize and reprove an identity of Parker and Loday. It states that certain pairs of generating series associated to pairs of labelled rooted planar trees are mutually invers…
On Minkowksi's bound for lattice-packings
Roland Bacher
We give a new proof of the Minkowski-Hlawka bound on the existence of dense lattices. The proof is based on an elementary method for constructing dense lattices which is almost eff…
Paperfolding and Catalan numbers
Roland Bacher
We reprove a few results concerning paperfolding sequences using properties of Catalan numbers modulo 2.
Le cocycle du verger
Roland Bacher
We define and prove uniqueness of a natural homomorphism (called the Orchard morphism) from some groups associated naturally to a finite set to the group of t…
Counting Triangulations of Configurations
Roland Bacher
After defining convex near-polygons, a formula enumerating the number of triangulations of such configurations is derived in terms of edge-polynomials. The paper describes also a t…
The Orchard Morphism
Roland Bacher
We describe and prove uniqueness of a natural homomorphism between some groups associated to finite sets.