On topological indices of fullerenes

M Bača, J Horváthová, M Mokrišová… - Applied Mathematics and …, 2015 - Elsevier
Applied Mathematics and Computation, 2015Elsevier
… We can see that the toroidal fullerene is a cubic bipartite graph embedded on the torus
such that each face is a hexagon. If we identify the top and bottom sides of P m n in such a
way that we identify the vertices u 1 0 and u 1 n , the vertices u i 0 and u m + 2 - i n , for i = 2 ,
3 , … , m , and the vertices v i 0 and v m + 1 - i n , for i = 1 , 2 , … , m , we obtain the Klein-bottle …
In this paper we have dealt with fullerene networks and carbon nanotube networks and
studied their topological indices. We determined the atom-bond connectivity (ABC) index …
Abstract
Two degree based topological indices, the atom-bond connectivity (ABC) and the geometric–arithmetic (GA) indices of fullerene networks and carbon nanotube networks are studied. Expressions for ABC and GA indices for these important classes of networks are obtained.
Elsevier
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