Single-valued neutrosophic line graphs

Abstract

In this paper, the concept of a single-valued neutrosophic line graph (SVNLG) of a single-valued neutrosophic graph (SVNG) is introduced and its properties are investigated. We state a necessary and sufficient condition for a SVNG to be isomorphic to its corresponding SVNLG. Moreover, a necessary and sufficient condition for a SVNG to be the SVNLG of some SVNG is given. The notion of a single-valued neutrosophic clique (SVNC) is introduced. A complete characterization of the structure of the SVNC is presented.