3 papers
math.CO2025
Fibonacci-like partitions and their associated piecewise-defined permutations
Jon Asier Bárcena-Petisco, Luis Martínez, María Merino +2
In this paper we introduce a family of partitions of the set of natural numbers, Fibonacci-like partitions. In particular, we introduce a Fibonacci-like partition in a number of pa…
math.CO2024
Almost Orthogonal Arrays: Search Three Ways
Luis Martínez, María Merino, Juan Manuel Montoya +1
Orthogonal arrays play a fundamental role in many applications. However, constructing orthogonal arrays with the required parameters for an application usually is extremely difficu…
math.CO2024
Generalized tableaux over arbitrary digraphs and their associated differential equations
Luis Martínez, Antonio Vera López, Antonio Vera Pérez +2
We revisit the concepts of acyclic orderings and number of acyclic orderings of acyclic digraphs in terms of dispositions and counters for arbitrary multidigraphs. We prove that wh…