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Hypercubes defined on n-ary sets, the Erdös–Faber–Lovász conjecture on graph coloring, and the description spaces of polypeptides and RNA
Journal of Mathematical Chemistry ( IF 1.7 ) Pub Date : 2019-09-19 , DOI: 10.1007/s10910-019-01065-6
Ramon Carbó-Dorca , Tanmoy Chakraborty

The present study deals with the possibility that N-dimensional hypercubes vertices could be constructed with chosen sets, composed by a given number of n elements. That is by: n-ary sets. Application of this possibility is discussed using as examples the coloring of graphs and the Erdös–Faber–Lovász conjecture, as well as protein and RNA descriptions. The outcome of this discussion induces a possibility to use p-dimensional hypercube vertices themselves as the possible elements of the n-ary sets as generators of N-dimensional hypercubes. Thus, providing: n=2p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ n = 2^{p} $$\end{document}.

中文翻译:

在 n 元集上定义的超立方体、关于图着色的 Erdös-Faber-Lovász 猜想,以及多肽和 RNA 的描述空间

本研究涉及 N 维超立方体顶点可以用选定的集合构建的可能性,由给定数量的 n 个元素组成。那就是:n元集。使用图的着色和 Erdös-Faber-Lovász 猜想以及蛋白质和 RNA 描述作为示例讨论了这种可能性的应用。这个讨论的结果导致了使用 p 维超立方体顶点本身作为 n 元集合的可能元素作为 N 维超立方体的生成器的可能性。因此,提供: n=2p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ n = 2^{p} $$\end{document}。
更新日期:2019-09-19
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