Secure Edge Domination in Neutrosophic Graphs

Sivasankar S 1*,  Said Broumi2

1Department of Mathematics, RV Institute of Technology and Management, Bangalore

2Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco

Emails: sivshankar@gmail.com; broumisaid78@gmail.com

 

*  Correspondence: sivshankar@gmail.com

 

Abstract

The concepts of Neutrosophic secure edge domination number and neutrosophic total secure edge domination number in single valued neutrosophic graphs (SVNG) with strong arcs are introduced and analysed in this paper, and some of their properties are studied. The relationship between the neutrosophic secure edge dominance number  and its inverse  is presented. The concepts inverse neutrosophic total edge domination set and inverse neutrosophic total edge domination number are also defined. Some of these concepts' properties are investigated.

 

Keywords: Edge dominating set; Neutrosophic secure edge dominating number; inverse neutrosophic edge domination number.