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).
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