Non-self-centrality number of some molecular graphs

Abstract

Let $ \mathscr{G} $ be a molecular graph, the eccentricity $ e(w) $ of the vertex $ w $ in $ \mathscr{G} $ is the maximum distance of $ w $ from any other vertex of $ \mathscr{G} $. The non-self-centrality number (NSC) of a graph $ \mathscr{G} $ is defined by $ N(\mathscr{G}) = \sum_{w\not = z}|e(w)-e(z)|, $ where summation goes over all the unordered pairs of vertices of $ \mathscr{G} $. We determine non-self-centrality number of $ TUC_{4}C_{8} $ and $ V $-phenylenic nanotubes in this paper.

Keywords

• non-self-centrality number
• topological indices
• eccentricity
• molecular graphs
• non-self-centered graphs
• nsc number