揭开蜂巢网络神秘的不规则着色面纱

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-23 DOI:10.1016/j.dam.2024.09.013

Shyama S. , Radha R. Iyer

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引用次数: 0

摘要

基于六边形细分的蜂巢网格被认为是一种多处理器互连网络。蜂窝电话站布局、计算机制图和图像处理都是六边形网格的应用领域。它们还用于表示苯碳氢化合物。本文研究了蜂巢网络、蜂巢杯状网络和蜂巢环状网络的不规则色度数，并确定了其精确值。此外，我们还找到了蜂巢菱形网和矩形环网的上限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Unraveling the enigmatic irregular coloring of Honeycomb Networks

The honeycomb mesh, based on the hexagonal tessellation, is considered a multiprocessor interconnection network. Cellular phone station placement, computer graphics and image processing are some applications where hexagonal tessellations are used. They are also used for the representation of benzenoid hydrocarbons. In this paper, we study the irregular chromatic number of Honeycomb Network, Honeycomb Cup Network and Honeycomb Torus and establish an exact value for the same. Also, we find an upper bound for the Honeycomb Rhombic and Rectangular Torus networks.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.