Abstract
Abstract In the study of chemical graph theory, an enormous number of research analyses have confirmed that the characteristics of chemicals have a nearby connection with their atomic structure. Topological indices were the critical tools for the analysis of these chemical substances to consider the essential topology of chemical structures. Topological descriptors are the significant numerical quantities or invariant in the fields of chemical graph theory. In this study, we have studied the crystal structure of copper oxide ( Cu 2 O {{\rm{Cu}}}_{2}{\rm{O}} ) chemical graph, and further, we have calculated the ev-degree- and ve-degree-based topological indices of copper oxide chemical graph. This kind of study may be useful for understanding the atomic mechanisms of corrosion and stress–corrosion cracking of copper.
Highlights
In the study of chemical graph theory, an enormous number of research analyses have confirmed that the characteristics of chemicals have a nearby connection with their atomic structure
We have presented a few initial ideologies of ve-degree and ev-degree, and we have calculated the ev-degree- and ve-degree-based topological indices for the chemical structure of copper oxide
Let G be a molecular graph of cuprite Cu2O, vertices ve-degree-based first Zagreb α-index is given by, M1αve(G) = 84(p + q + r) − 144(pq + pr + qr) + 384pqr − 24
Summary
Abstract: In the study of chemical graph theory, an enormous number of research analyses have confirmed that the characteristics of chemicals have a nearby connection with their atomic structure. We have studied the crystal structure of copper oxide (Cu2O) chemical graph, and further, we have calculated the ev-degree- and ve-degree-based topological indices of copper oxide chemical graph. This kind of study may be useful for understanding the atomic mechanisms of corrosion and stress–corrosion cracking of copper. For a connected graph G, the ev-degree-based Zagreb (Mev) index and Randic (Rev) index for any edge e = uv ∈ E(G) are defined as. For a connected graph G, the ve-degree-based first Zagreb alpha (M1αve) index for any vertex v ∈ V(G) is defined as. End vertice ve-degree-based indices of each edge For a connected graph G, the end vertices ve-degreebased indices for each edges, such as ve-degree-based first Zagreb beta (M1βve) index, second Zagreb (M2βve) index, atom-bond connectivity (ABCve) index, geometric-arithmetic (GAve) index, Harmonic (Hve) index, sum-connectivity (χve) index, and the Randic (Rve) index for each edge uv ∈ E(G) are defined as
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