On topological properties of poly honeycomb networks

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• 作者：Muhammad Imran ; Abdul Qudair Baig ; Haidar Ali…
• 刊名：Periodica Mathematica Hungarica
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：73
• 期：1
• 页码：100-119
• 全文大小：968 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Sciences
  Mathematics
  
• 出版者：Akad茅miai Kiad贸, co-published with Springer Science+Business Media B.V., Formerly Kluwer Academic
• ISSN：1588-2829
• 卷排序：73

文摘

Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as the Randić, the atom-bond connectivity (ABC) and the geometric-arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study poly honeycomb networks which are generated by a honeycomb network of dimension n and derive analytical closed results for the general Randić index \(R_\alpha (G)\) for different values of \(\alpha \), for a David derived network \((\textit{DD}(n))\) of dimension n, a dominating David derived network \((\textit{DDD}(n))\) of dimension n as well as a regular triangulene silicate network of dimension n. We also compute the general first Zagreb, ABC, GA, \(\textit{ABC}_4\) and \(\textit{GA}_5\) indices for these poly honeycomb networks for the first time and give closed formulas of these degree based indices in case of poly honeycomb networks.KeywordsGeneral Randić indexAtom-bond connectivity (\(\textit{ABC}\)) indexGeometric-arithmetic (\(\textit{GA}\)) indexDavid derived networksRegular triangulene silicate network