11 citations · 16 across the 5 of their papers we have counts for
4 papers · 1 filter
Penrose P2 Tilings: A Study of Fully Leafed Induced Subtrees
Mathieu Cloutier, Alain Goupil, Alexandre Blondin Massé
We present new results about fully leafed induced subtrees in Penrose P2 tilings, also known as kites and darts tilings. We first determine the graph structure of these subtrees an…
Leaf realization problem, caterpillar graphs and prefix normal words
Alexandre Blondin Massé, Julien de Carufel, Alain Goupil +3
Given a simple graph with vertices and a natural number , let be the maximum number of leaves that can be realized by an induced subtree of with…
Partially Directed Snake Polyominoes
Alain Goupil, Marie-Eve Pellerin, Jérôme de Wouters d'Oplinter
The goal of this paper is to study the family of snake polyominoes. More precisely, we focus our attention on the class of partially directed snakes. We establish functional equati…
A product of integer partitions
Alain Goupil
I present a bijection on integer partitions that leads to recursive expressions, closed formulae and generating functions for the cardinality of certain sets of partitions of a pos…