揭开蜂巢网络神秘的不规则着色面纱

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics 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

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.