- Article
On the Secure Total Domination Number of Graphs
- Abel Cabrera Martínez,
- Luis P. Montejano and
- Juan A. Rodríguez-Velázquez
A total dominating set D of a graph G is said to be a secure total dominating set if for every vertex
A total dominating set D of a graph G is said to be a secure total dominating set if for every vertex
In this article, we obtain general bounds and closed formulas for the secure total domination number of rooted product graphs. The results are expressed in terms of parameters of the factor graphs involved in the rooted product.
The domination problem and three of its variants (total domination, 2-domination, and secure domination) are considered. These problems have various real-world applications, including error correction codes, ad hoc routing for wireless networks, and...
The authors wish to make the following corrections on paper [...]
Given a graph
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