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- W2898070638 abstract "Abstract Topological indices are the atomic descriptors that portray the structures of chemical compounds and they help us to anticipate certain physico-compound properties like boiling point, enthalpy of vaporization and steadiness. The atom bond connectivity ( ABC ) index and geometric arithmetic ( GA ) index are topological indices which are defined as $ABC(G)=sum_{uvin E(G)}sqrt{frac{d_u+d_v-2}{d_ud_v}}$ and $GA(G)=sum_{uvin E(G)}frac{2sqrt{d_ud_v}}{d_u+d_v}$ , respectively, where d u is the degree of the vertex u . The aim of this paper is to introduced the new versions of ABC index and GA index namely multiple atom bond connectivity ( ABC ) index and multiple geometric arithmetic ( GA ) index. As an application, we have computed these newly defined indices for the octagonal grid $O_p^q$ , the hexagonal grid H ( p , q ) and the square grid G p, q . Also, we compared these results obtained with the ones by other indices like the ABC 4 index and the GA 5 index." @default.
- W2898070638 created "2018-10-26" @default.
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- W2898070638 date "2018-10-16" @default.
- W2898070638 modified "2023-09-23" @default.
- W2898070638 title "Computing multiple ABC index and multiple GA index of some grid graphs" @default.
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- W2898070638 doi "https://doi.org/10.1515/phys-2018-0077" @default.
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