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Induced H-packing k-partition number for certain nanotubes and chemical graphs
Journal of Mathematical Chemistry ( IF 1.7 ) Pub Date : 2020-04-05 , DOI: 10.1007/s10910-020-01124-3
Antony Xavier , Santiagu Theresal , S. Maria Jesu Raja

Nanotechnology stands forefront in the science research and technology development. Carbon Nanocones and Carbon nanotubes (CNTs) are one of the most promising materials in the field of nanotechnology. Mathematically, assembling in predictable patterns is equivalent to packing in graphs. An H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}$$\end{document}-packing of a graph G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{G}$$\end{document} is the set of vertex disjoint subgraphs of G, each of which is isomorphic to a fixed graph H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}$$\end{document}. In this paper we determine a H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}$$\end{document}-packing and an induced H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}$$\end{document}-packing k-partition number for V-Phenylenic Nanotube, H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}$$\end{document}-Naphtalenic Nanotube, H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}$$\end{document}-Anthracenic Nanotube, H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}$$\end{document}-Tetracenic nanotube, CNC3[n]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$CNC_{3} [n]$$\end{document} Nanocone and Circum Tetracene with H≃P3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textit{H}\simeq \textit{P}_{3}$$\end{document}.

中文翻译:

某些纳米管和化学图的诱导 H 堆积 k 分配数

纳米技术处于科学研究和技术发展的前沿。碳纳米锥和碳纳米管(CNT)是纳米技术领域最有前途的材料之一。在数学上,以可预测的模式组装相当于在图形中打包。
更新日期:2020-04-05
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