3 papers
cs.DM2026
Snake Polyominoes of Maximal Area in a Rectangle
Alexandre Blondin Massé, Alain Goupil
Given a discrete rectangle R of dimensions h x w, let W be the set of snake-like polyominoes contained in R represented as binary matrices, i.e. polyominoes whose underlying simple…
math.CO2026
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…
math.CO2009
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…