Augmented eccentric connectivity index of Fullerenes

نویسندگان

1 Department of Mathematics, Faculty of Science, Persian Gulf University

doi
10.22061/jmns.2014.478
چکیده

Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑u εV(G)M(u)ε(u)-1, where ε(u)  is defined as the length of a maximal path connecting u to another vertex of G and M(u) denotes the product of degrees of all eighbors of vertex u. In the present paper , we compute the augmented eccentric connectivity index of two classes of fullerenes C12n+2 and C20n+40.