About Atom Bond Connectivity and Geometric-Arithmetic Indices of Special Chemical Molecular and Nanotubes
DOI:
https://doi.org/10.26713/jims.v10i1-2.545Keywords:
Molecular graph, Nanotubes, geometric-arithmetic (GA) index, atom-bond connectivity (ABC) indexAbstract
Among topological descriptors connectivity indices are very important and they have a prominent role in chemistry. Two useful of them are the geometric-arithmetic (GA) and atom-bond connectivity (ABC) indices and are defined as \(GA(G)=\sum\limits _{uv\in E(G)}\frac{2\sqrt{d_{u} d_{v} } }{d_{u} +d_{v} }\) and \(ABC(G)=\sum\limits _{e=uv\in E(G)}\sqrt{\frac{d_{u} +d_{v} -2}{d_{u} d_{v} } }\), in which \(d_u\) and \(d_v\) are the degrees of the vertices \(u\) and \(v\), respectively. n this paper we compute these connectivity topological indices for a special chemical molecular graph ``$Cas(C)$-$CaR(C)[m,n,p]$ Nanotubes Junction'' are given. The $Cas(C)$-$CaR(C)[m,n,p]$ Nanotubes Junction is a new nano-structure that was defined by M.V. Diudea, on based the new graph operations (Leapfrog Le and Capra Ca) on the cycle graph \(C_n\).Downloads
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