Secure Total Domination in Rooted Product Graphs

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.

Bibliographic Details
Main Authors:	Abel Cabrera Martínez, Alejandro Estrada-Moreno, Juan A. Rodríguez-Velázquez
Format:	Article
Language:	English
Published:	MDPI AG 2020-04-01
Series:	Mathematics
Subjects:	secure total domination total domination domination rooted product graph
Online Access:	https://www.mdpi.com/2227-7390/8/4/600

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spelling	doaj-eecc0590906744f18071cc3a5730a8af2020-11-25T03:05:53ZengMDPI AGMathematics2227-73902020-04-01860060010.3390/math8040600Secure Total Domination in Rooted Product GraphsAbel Cabrera Martínez0Alejandro Estrada-Moreno1Juan A. Rodríguez-Velázquez2Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, SpainDepartament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, SpainDepartament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans 26, 43007 Tarragona, SpainIn 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.https://www.mdpi.com/2227-7390/8/4/600secure total dominationtotal dominationdominationrooted product graph
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abel Cabrera Martínez Alejandro Estrada-Moreno Juan A. Rodríguez-Velázquez
spellingShingle	Abel Cabrera Martínez Alejandro Estrada-Moreno Juan A. Rodríguez-Velázquez Secure Total Domination in Rooted Product Graphs Mathematics secure total domination total domination domination rooted product graph
author_facet	Abel Cabrera Martínez Alejandro Estrada-Moreno Juan A. Rodríguez-Velázquez
author_sort	Abel Cabrera Martínez
title	Secure Total Domination in Rooted Product Graphs
title_short	Secure Total Domination in Rooted Product Graphs
title_full	Secure Total Domination in Rooted Product Graphs
title_fullStr	Secure Total Domination in Rooted Product Graphs
title_full_unstemmed	Secure Total Domination in Rooted Product Graphs
title_sort	secure total domination in rooted product graphs
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-04-01
description	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.
topic	secure total domination total domination domination rooted product graph
url	https://www.mdpi.com/2227-7390/8/4/600
work_keys_str_mv	AT abelcabreramartinez securetotaldominationinrootedproductgraphs AT alejandroestradamoreno securetotaldominationinrootedproductgraphs AT juanarodriguezvelazquez securetotaldominationinrootedproductgraphs
_version_	1724676712531230720

Secure Total Domination in Rooted Product Graphs

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