GENERALIZED REDEFINED ZAGREB INDEX ON SOME NANOSTRUCTURES

Shanmukha Mullemani Channappa, Shilpa Kalajji Channabasappa, Usha Arcot, Anil Kumar Kempasidpla Nagarajappa
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Abstract

Chemical graph theory has become a significant part of the research. Topological indices are numerical descriptors used to determine physico-chemical properties of chemical compounds. In this work, the generalized redefined Zagreb index is defined. This index is applied on several topological indices viz., redefined Zagreb indices (ReZG1(G), ReZG2(G), ReZG3(G)), sum-connectivity Zagreb index (SCI(G)), hyper Zagreb index (HM(G)), harmonic index (H(G)), arithmetic-geometric index (AGI(G)), SK index (SK(G)) and SK1 index (SK1(G)). The above said indices are calculated for aromatic compounds such as boron triangular sheet, borophene chain and melem chain nanostructures. The obtained results are useful in understanding the behaviour of compounds under the study.
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某些纳米结构上的广义重定义萨格勒布指数
化学图论已成为研究的重要组成部分。拓扑指数是用于确定化合物物理化学性质的数值描述符。在这项工作中,定义了广义的重新定义萨格勒布指数。该指数适用于多种拓扑指数,即重新定义的萨格勒布指数(ReZG1(G)、ReZG2(G)、ReZG3(G))、萨格勒布总和连接指数(SCI(G))、超萨格勒布指数(HM(G))、谐波指数(H(G))、算术几何指数(AGI(G))、SK 指数(SK(G))和 SK1 指数(SK1(G))。上述指数是针对硼三角片、硼吩链和钔链纳米结构等芳香化合物计算得出的。所得结果有助于理解所研究化合物的行为。
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