Topological properties of face-centred cubic lattice

Abstract

Face-centred cubic lattice $FCC(n)$ has attracted large attention in recent years owing to its distinguished properties and non-toxic nature, low-cost, abundance, and simple fabrication process. The graphs of face-centred cubic lattice contain cube points and face centres. A topological index of a chemical graph $G$ is a numeric quantity related to $G$ which describes its topological properties. In this paper, using graph theory tools, we determine the topological indices namely, Randic index, atomic bond connectivity index, Zagreb types indices, Sanskruti index for face-centred cubic lattice $FCC(n)$.

Keywords

• Randic index,atomic bond connectivity index,Zagreb types indices,Sanskruti index,face-centred cubic lattice FCC(n)

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