Title of article :
SINGLE-VALUED NEUTROSOPHIC LINE GRAPHS
Author/Authors :
NAZ, S Department of Mathematics - University of the Punjab - Quaid-e-Azam Campus - Lahore, Pakistan , MALIK, M. A Department of Mathematics - University of the Punjab - Quaid-e-Azam Campus - Lahore, Pakistan
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.
Keywords :
Neutrosophic set , single-valued neutrosophic set , single-valued neutrosophic graph , single-valued neutrosophic line graph , single-valued neutrosophic clique
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
