Geometric-Arithmetic Index of Hamiltonian Fullerenes

Document Type: Research Paper


1 Islamic Azad University, Tehran, Iran

2 Shahid Rajaee Teacher Training University, Tehran, I. R. Iran

3 Tehran North Branch, Islamic Azad University, Iran


A graph that contains a Hamiltonian cycle is called a Hamiltonian graph. In this paper we compute the first and the second geometric – arithmetic indices of Hamiltonian graphs. Then we apply our results to obtain some bounds for fullerene.