Protection of Graphs with Emphasis on Cartesian Product Graphs
Abstract
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 consequence of the study, we derive new inequalities of Nordhaus-Gaddum type involving secure domination and weak Roman domination.
Furthermore, the particular case of Cartesian product graphs is considered.
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