Secure Total Domination in Rooted Product Graphs

Abel Cabrera Martínez, Alejandro Estrada-Moreno and Juan A. Rodríguez-Velázquez
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Abel Cabrera Martínez: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, Spain
Alejandro Estrada-Moreno: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, Spain
Juan A. Rodríguez-Velázquez: Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, Spain

Mathematics, 2020, vol. 8, issue 4, 1-14

Abstract: 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.

Keywords: secure total domination; total domination; domination; rooted product graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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