期刊名称：International Journal of Wireless & Mobile Networks
印刷版ISSN：0975-4679
电子版ISSN：0975-3834
出版年度：2018
卷号：10
期号：1
页码：51-59
DOI：10.5121/ijwmn.2018.10105
出版社：Academy & Industry Research Collaboration Center (AIRCC)
摘要：In this paper, we obtain the minimum and maximum hop counts between any pair of cells in the 3D grid-based wireless networks. We start by determining the minimum path length between any two points in a 2D grid coordinate system. We establish that the minimum path length is the maximum difference between the corresponding coordinates of the two points. We then extend the result to derive the minimum and maximum hop counts for the 3D grid-based wireless networks. We establish that the maximum path length is the sum of the differences between the corresponding coordinates of the two cells. Whilst the minimum path length depends on the positions of the two cells; it does not exceed the maximum difference between the corresponding coordinates of the two cells.
关键词：Communication; wireless networks; 3D grid; hop coun;t & path length
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