| S^2球构形的分类及一类特殊球构形的特征多项式 |
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| 引用本文： | 崔秀鹏,裴东河,高瑞梅. S^2球构形的分类及一类特殊球构形的特征多项式[J]. 山东大学学报(自然科学版), 2010, 0(2): 10-13 |
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| 作者姓名： | 崔秀鹏 裴东河 高瑞梅 |
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| 作者单位： | 东北师范大学数学与统计学院,吉林长春130024 |
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| 基金项目： | 国家自然科学基金资助项目（10871035） |
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| 摘 要： | 给出了球构形的定义，并在S^2上用共轴这一等价关系给出了它的一种分类方法。研究了特殊r共轴球构形的性质，在此基础上给出了这类特殊球构形的特征多项式和区域个数的计算公式。
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| 关 键 词： | 球构形 特殊r共轴球构形 特征多项式 区域个数 |
The classification of a sphere arrangement in S^2 and its characteristic polynomial |
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| CUI Xiu-peng,PEI Dong-he,GAO Rui-mei. The classification of a sphere arrangement in S^2 and its characteristic polynomial[J]. Journal of Shandong University(Natural Science Edition), 2010, 0(2): 10-13 |
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| Authors: | CUI Xiu-peng PEI Dong-he GAO Rui-mei |
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| Affiliation: | (School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, China) |
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| Abstract: | The definition of a sphere arrangement is given and a kind of classification method is obtained under the equivalence relation of ＂coaxality＂ in S^2 . Some properties of a special r coaxial sphere arrangement have been studied. The formulas to compute its characteristic polynomial and the number of regions are given. |
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| Keywords: | sphere arrangement special r coaxial sphere arrangement characteristic polynomial number of regions |
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