Author(s)

Tingzeng Wu¹, Huazhong Lü²

¹School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China.
²School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China.

The eccentricity of a vertex in a graph is the maximum distance from the vertex to any other vertex. Two structure topological indices: eccentric connectivity index and connective eccentricity index involving eccentricity have a wide range of applications in structure-activity relationships and pharmaceutical drug design etc. In this paper, we investigate the eccentric connectivity index and the connective eccentricity index of a (3, 6)-fullerene. We find a relation between the radius and the number of spokes of a (3, 6)-fullerene. Based on the relation, we give the computing formulas of the eccentric connectivity index and the connective eccentricity index of a (3, 6)-fullerene, respectively.

Eccentricity, Eccentric Connectivity Index, Connective Eccentricity Index, (3, 6)-Fullerene

Wu, T. and Lü, H. (2020) On the ECI and CEI of (3, 6)-Fullerenes. Applied Mathematics, 11, 473-479. doi: 10.4236/am.2020.116034.