Vertex version of pi index of polycyclic aromatic hydrocarbons PAHK

Abstract Let G=(V,E) be a simple connected molecular graph. Khadikar et.al. introduced the PI index defined by , where is the number of vertices of G lying closer to u and  is the number of vertices of G lying closer to v. In this paper, we compute a closed formula of vertex PI index for Polycyclic Aromatic hydrocarbons.

Keywords Poly Aromatic Hydrocarbons PAHk ; PI index; Cut Method; Orthogonal Cut.

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Updated: January 20, 2024 — 10:06 am