By Burnside Lemma and Polya theorem and ralative knowledge of group theory,we can solve effectively some special enumeration problems with rotation index of induced rotation group of cube hexahedron.
“计数问题”是组合数学中的一个重要问题,文章利用Burnside引理,Po lya计数定理及某些群论知识,导出了正六面体点边面的置换群的轮换指标表示,很好地解决了某些特定的计数问题。
This paper concludes that if the structure of mesh lattice units is formed in the shape of regular hexagon, the data precision can be raised under the condition of equal area and equal amount of data and, the data amount can be lessened under the condition of keeping equal precision, thus loweri.
选用周长最短的正六边形作为栅格单元结构 ,可在相同面积、相同数据量的条件下提高数据精度 ,或在保证精度的条件下 ,减少数据量 ,从而可降低生产成本 。
The paper focuses on these two problems, proposed a new method of regular hexagonal grid plot for wireless sensor network.
综合考虑无线传感器网络中的连通与覆盖问题,提出了一种新的同构无线传感器网络网格划分方法,即正六边形网格划分方法。
