Properties of Detour Central and Detour Boundary Vertices in Neutrosophic Graphs

^*R. Narmada Devi¹, G.Muthumari² and J. Bravelin Jersha³

^1,2Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, India.

³PG Department of mathematics, Women’s Christian College, University of Madras, Chennai, Tamil Nadu, India.

                                                                                                            *Correspondence: ^*narmadadevi23@gmail.com¹, mathsgmm@gmail.com² and bravelinjersha125@gmail.com³

Orcid Id : 0000-0001-6472-3003

Abstract

In this paper, the idea of neutrosophic detour boundary vertices and neutrosophic detour center vertices in neutrosophic graph is introduced.  Here the concept of neutrosophic detour eccentricity, neutrosophic detour radius, neutrosophic detour diameter, neutrosophic detour neighbourhood vertex are studied.  Several interesting properties related to of eccentric nodes, peripheral nodes, and central nodes in neutrosophic graphs are established.

Keywords:  Neutrosophic detour eccentricity, Neutrosophic detour centre, Neutrosophic detour self-centered graph, Neutrosophic detour boundary vertex, Neutrosophic detour boundary graph.