Lower bounds for the number of inlets of hexagonal systems,International Journal of Quantum Chemistry

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Lower bounds for the number of inlets of hexagonal systems
International Journal of Quantum Chemistry ( IF 2.3 ) Pub Date : 2020-07-11 , DOI: 10.1002/qua.26358
Roberto Cruz ₁ , Frank Duque ₁ , Juan Rada ₁

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The number of inlets of a hexagonal system H is denoted by r(H) and defined as the sum of the fissures, bays, coves, and fjords of H. It is well known that the parameter r plays an important role in the theory of molecular descriptors. Let Λ_n and Γ_m denote the set of hexagonal systems with n vertices and m edges, respectively. In this paper we find sharp lower bounds for the number of inlets on Λ_n and Γ_m. As a consequence, we determine extremal values of the Randić, harmonic, and geometric‐arithmetic indices over Λ_n and Γ_m.

中文翻译：

六角形系统入口数量的下限

六方晶系的入口的数量ħ被表示为[R （ħ）和定义为裂缝，海湾，海湾，和峡湾的总和ħ。众所周知，参数r在分子描述符理论中起着重要作用。设Λ _Ñ和Γ_米表示组与六方晶系的Ñ顶点和米的边缘，分别。在本文中，我们找到入口的数量急剧下限Λ _ñ和Γ_米。因此，我们决定在Randić，谐波和几何算术指数的极值Λ _Ñ和Γ_米。

更新日期：2020-08-29

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