Author, as appears in the article.: Valveny, Magdalena; Alberto Rodriguez-Velazquez, Juan;

Department: Enginyeria Informàtica i Matemàtiques

URV's Author/s: Rodríguez Velázquez, Juan Alberto

Keywords: Weak roman domination Secure domination Cartesian product

Abstract: In this paper we study the weak Roman domination number and the secure domination numberof a graph. In particular, we obtain general bounds on these two parameters and, as a consequence ofthe study, we derive new inequalities of Nordhaus-Gaddum type involving secure domination and weakRoman domination. Furthermore, the particular case of Cartesian product graphs is considere

Thematic Areas: Mathematics, applied Mathematics (miscellaneous) Mathematics (all) Mathematics General mathematics Engenharias iii Economia Ciências agrárias i

licence for use: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 03545180

Author's mail: juanalberto.rodriguez@urv.cat

Author identifier: 0000-0002-9082-7647

Record's date: 2023-02-18

Papper version: info:eu-repo/semantics/publishedVersion

Link to the original source: https://www.pmf.ni.ac.rs/filomat-content/2019/33-1/33-1-25-8111.pdf

Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/

Papper original source: Filomat. 33 (1): 319-333

APA: Valveny, Magdalena; Alberto Rodriguez-Velazquez, Juan; (2019). Protection of Graphs with Emphasis on Cartesian Product Graphs. Filomat, 33(1), 319-333. DOI: 10.2298/FIL1901319V

Article's DOI: 10.2298/FIL1901319V

Entity: Universitat Rovira i Virgili

Journal publication year: 2019

Publication Type: Journal Publications