AN UPPER BOUND ON AVERAGE TOUCHING NUMBER OF A VORONOI PARTITION

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	AN UPPER BOUND ON AVERAGE TOUCHING NUMBER OF A VORONOI PARTITION
其他题名	AN UPPER BOUND ON AVERAGE TOUCHING NUMBER OF A VORONOI PARTITION
	Wang CS(王承曙)
	1989
发表期刊	数学年刊：B辑英文版
ISSN	0252-9599
卷号	000 期号:1.0 页码:19-25
摘要	A Voronoi partition is decided bythe configurations of N centerepoints in n dimensional Euclidean space. The total number of nearest neighbor points for a given centerpoint in the partition is called its touching number. It is shown that the average touching number for all points in a Voronoi partition is not greater than the n dimensional kissing number, that is, the maximum uumber of unit spheres that can touch a given unit sphere without overlapping.
其他摘要	A Voronoi partition is decided bythe configurations of N centerepoints in n dimensional Euclidean space. The total number of nearest neighbor points for a given centerpoint in the partition is called its touching number. It is shown that the average touching number for all points in a Voronoi partition is not greater than the n dimensional kissing number, that is, the maximum uumber of unit spheres that can touch a given unit sphere without overlapping.
关键词	partition overlapping neighbor decided Euclidean nearest vertex viola spheres 切二
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:84825
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55727
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wang CS. AN UPPER BOUND ON AVERAGE TOUCHING NUMBER OF A VORONOI PARTITION[J]. 数学年刊：B辑英文版,1989,000(1.0):19-25.
APA	王承曙.(1989).AN UPPER BOUND ON AVERAGE TOUCHING NUMBER OF A VORONOI PARTITION.数学年刊：B辑英文版,000(1.0),19-25.
MLA	王承曙."AN UPPER BOUND ON AVERAGE TOUCHING NUMBER OF A VORONOI PARTITION".数学年刊：B辑英文版 000.1.0(1989):19-25.