THE ZAGREB ECCENTRIC VERTEX DEGREE INDICES OF NANOTUBES AND NANOTORI
The eccentric vertex degree of a vertex v of a simple connectedgraph G, is defined as: where denotes the degree of the vertex of which is one of the furthest vertices from v. The total eccentric vertex degree is defined as: where denotes the eccentric degree of the vertex v. The first Zagreb eccentric vertex degree alpha index is defined as: The first Zagreb eccentric vertex degree beta index is defined as: And the second Zagreb eccentric vertex degree index is defined as: In this study, we compute the exact value of the Zagreb eccentric vertex degree indices of nanotubes and nanotori.
nanotube, nanotori, Zagreb indices, Zagreb eccentric vertex degree indices.