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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.CO2026
Fully Leafed Induced Subtrees in Penrose P2 Tilings
Mathieu Cloutier, Alain Goupil, Alexandre Blondin Massé
In a recent article by C. Porrier, A. Blondin Massé and A. Goupil, a first bi-infinite fully leafed induced subcaterpillar of Penrose P2 tilings is presented. In this paper, we fo…
math.CO2025
Maximal 2-dimensional binary words of bounded degree
Alexandre Blondin Massé, Alain Goupil, Ralphael L'Heureux +1
Let d be an integer between 0 and 4, and W be a 2-dimensional word of dimensions h x w on the binary alphabet {0, 1}, where h, w in Z > 0. Assume that each occurrence of the letter…