activity
20192026
most citedThe mod chromatic index of graphs is

1 citations · 1 across the 6 of their papers we have counts for

collaborators
Showing math.COShow all

8 papers · 1 filter

math.CO2026

On converse invariant trees of diameter four

Fernando Afonso, Lucas Colucci, Tássio Naia

Let be an oriented graph, and let denote the number of copies of in a tournament . We say that is \emph{converse invariant} if for…

math.CO2025

A linear upper bound on the zero-sum Ramsey number of forests in

Lucas Colucci, Marco D'Emidio

Let be a positive integer and let be a graph. The zero-sum Ramsey number is the least integer (if it exists) such that for every edge-coloring $χ\,…

math.CO2025

On Modular Edge Colourings of Graphs

Gaétan Berthe, Marthe Bonamy, Fábio Botler +5

Given a graph and an integer , let denote the minimum number of colours required to colour the edges of such that, in each colour class, the subgraph ind…

math.CO2025

On a problem of Caro on -Ramsey number of forests

José D. Alvarado, Lucas Colucci, Roberto Parente

Let be a positive integer and let be a graph. The zero-sum Ramsey number is the least integer (if it exists) such that for every edge-coloring $χ\,…

math.CO20201 cited

The mod chromatic index of graphs is

Fábio Botler, Lucas Colucci, Yoshiharu Kohayakawa

Let denote the minimum number of colors needed to color the edges of a graph in a way that the subgraph spanned by the edges of each color has all degrees congruent t…

math.CO2019

On L(2,1)-labelings of some products of oriented cycles

Lucas Colucci, Ervin Győri

We refine two results of Jiang, Shao and Vesel on the -labeling number of the Cartesian and the strong product of two oriented cycles. For the Cartesian product, we com…