On Eccentric Adjacency index of Several Infinite Classes of Fullerenes
Reza Sharafdini *
Department of Mathematics, Persian Gulf University, Bushehr 75169, Iran.
Maryam Safazadeh
Department of Mathematics, Persian Gulf University, Mathematics House of Busher, Bushehr 75169, Iran.
*Author to whom correspondence should be addressed.
Abstract
In theoretical chemistry, molecular structure descriptors are used for modeling physio-chemical, pharmacologic, toxicological, biological and other properties of chemical compound. The eccentric adjacency index of a graph G is defined as
where S(u) denotes sum of degrees of vertices adjacent to the vertex u and ε (u) is defined as the maximum length of any minimal path connecting u to any other vertex of G. Fullerenes are molecules in the form of cage-like polyhedra, consisting solely of carbon atoms bonded in a nearly spherical con guration. In this paper we calculate the eccentric adjacency index for several infinite classes of fullerenes.
Keywords: Graph, eccentricity, eccentric adjacency index, fullerenes.