Affiliations: [a] Department of Mathematics, Queen Mary college, Lahore, Pakistan
| [b] Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
| [c] Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Correspondence:
[*]
Corresponding author. Sumera Naz, Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan. Tel.: +92 42 99231241; E-mail: nsumeranaz@gmail.com.
Abstract: In this paper, regular graphs are studied in the context of a single valued neutrosophic environment, where for each element the truth-membership degree, indeterminacy-membership degree and falsity-membership degree are independently assigned in [0, 1]. Firstly, the novel concepts of regular, edge regular, partially edge regular and full edge regular single valued neutrosophic graphs (SVNGs) are proposed and some of their properties are investigated. Then strongly regular SVNGs and biregular SVNGs are defined. The notion of single valued neutrosophic digraphs (SVNDGs) is introduced along with its application in multi-attribute decision making (MADM).
Keywords: Single valued neutrosophic graph, edge regular single valued neutrosophic graph, strongly regular single valued neutrosophic graph, biregular single valued neutrosophic graph
