15 citations · 15 across the 1 of their papers we have counts for
2 papers
math.CO2020★ 15 cited
Protection of graphs with emphasis on Cartesian product graphs
Magdalena Valveny, Juan Alberto Rodriguez-Velazquez
In this paper we study the weak Roman domination number and the secure domination number of a graph. In particular, we obtain general bounds on these two parameters and, as a conse…
math.CO2017
On the weak Roman domination number of lexicographic product graphs
Magdalena Valveny, Hebert Pérez-Rosés, Juan A. Rodríguez-Velázquez
A vertex of a graph is said to be undefended with respect to a function if and for every vertex adjacent to …