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arXiv · 2008.00225

Protection of graphs with emphasis on Cartesian product graphs

Magdalena Valveny·Juan Alberto Rodriguez-Velazquez
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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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Magdalena Valveny, Juan Alberto Rodriguez-Velazquez. 2020-08-01. Protection of graphs with emphasis on Cartesian product graphs. https://doi.org/10.2298/fil1901319v

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