| 一类特殊三维六度环面网络的直径公式 |
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| 引用本文： | 钟玮,刘日华,陈宝兴. 一类特殊三维六度环面网络的直径公式[J]. 计算机工程与应用, 2019, 55(13): 119-122. DOI: 10.3778/j.issn.1002-8331.1807-0199 |
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| 作者姓名： | 钟玮 刘日华 陈宝兴 |
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| 作者单位： | 闽南师范大学 计算机学院,福建 漳州 363000 2.数据科学与智能应用福建省高等学校重点实验室,福建 漳州 363000 3.南昌师范学院 数学与计算机科学系,南昌 330032;南昌师范学院 数学与计算机科学系,南昌,330032 |
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| 基金项目： | 福建省中青年项目;福建省中青年项目 |
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| 摘 要： | 六度网孔网络和六度环面网络在化学、计算机图形学和峰巢移动通信等领域都得到了十分广泛的应用。三维环面是二维环面的自然性推广。该文针对张震等人所提出的三维六度环面Cayley图网络模型的未解问题,给出了一类特殊三维六度环面网络的直径公式,并给予了详细的证明。
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| 关 键 词： | 三维六度环面网络 CAYLEY图 直径公式 |
Diameter Formula for a Special 3D Hexagonal Torus |
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| ZHONG Wei,LIU Rihua,CHEN Baoxing. Diameter Formula for a Special 3D Hexagonal Torus[J]. Computer Engineering and Applications, 2019, 55(13): 119-122. DOI: 10.3778/j.issn.1002-8331.1807-0199 |
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| Authors: | ZHONG Wei LIU Rihua CHEN Baoxing |
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| Affiliation: | 1.School of Computer Science, Minnan Normal University, Zhangzhou, Fujian 363000, China2.Key Laboratory of Data Science and Intelligence Application, Fujian Province University, Zhangzhou, Fujian 363000, China3.Department of Mathematics and Computer Science, Nanchang Normal University, Nanchang 330032, China |
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| Abstract: | Hexagonal mesh and hexagonal torus network has been very widely used in chemistry, computer graphics and peak nest mobile communications and other fields. The 3D torus is natural extension of the torus. In this paper, for the unsolved problem of the 3D hexagonal torus Cayley network model proposed by Zhang Zhen et al, the diameter formula of the special 3D hexagonal torus Cayley network is given and proved in detail. |
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| Keywords: | 3D hexagonal torus Cayley graph diameter formula |
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