SINGLE-VALUED NEUTROSOPHIC LINE GRAPHS

S. NAZ1, M. A. MALIK2

[PDF]

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 inves- tigated. We state a necessary and sucient condition for a SVNG to be isomorphic to its corresponding SVNLG. Moreover, a necessary and sucient 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.

Keywords

Neutrosophic set, single-valued neutrosophic set, single-valued neutrosophic graph, single-valued neutrosophic line graph, single-valued neutrosophic clique.