2 papers
math.CO2026
On the small-step quarter plane lattice walks with a non D-finite univariate generating function
Marni Mishna, Juan Pulido
We report on the status of the conjecture of Bousquet-Mélou and Mishna that the univariate counting generating function of a small-step quarter-plane lattice model is D-finite if…
math.CO2024
Generating Trees and Fibonacci Polyominoes
Juan F. Pulido, José L. RamÃrez, Andrés R. Vindas-Meléndez
We study a new class of polyominoes, called -Fibonacci polyominoes, defined using -Fibonacci words. We enumerate these polyominoes by applying generating functions to capture…