TITLE:
On the ECI and CEI of (3, 6)-Fullerenes
AUTHORS:
Tingzeng Wu, Huazhong Lü
KEYWORDS:
Eccentricity, Eccentric Connectivity Index, Connective Eccentricity Index, (3, 6)-Fullerene
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.6,
June
10,
2020
ABSTRACT: 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.