3 papers
math.CO2026
On the minimum vertex cover of snarks
Gustavo Fernandes, Atílio G. Luiz
A vertex cover of a graph is a subset of vertices such that every edge of is incident to at least one vertex in . The vertex cover number of is th…
math.CO2024
Independent [k]-Roman Domination on Graphs
Atílio Gomes Luiz, Francisco Anderson Silva Vieira
Given a function on a graph , denotes the set of neighbors of that have positive labels under . In 2021, Ahangar e…
math.CO2020
On the Graceful Game
Luisa Frickes, Simone Dantas, Atílio G. Luiz
A graceful labeling of a graph with edges consists of labeling the vertices of with distinct integers from to such that, when each edge is assigned as induced l…