| 一类混杂构形的特征多项式 |
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| 引用本文： | 董芸,姜广峰.一类混杂构形的特征多项式[J].北京化工大学学报(自然科学版),2007,34(2):207-210. |
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| 作者姓名： | 董芸 姜广峰 |
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| 作者单位： | 北京化工大学理学院,北京,100029;北京化工大学理学院,北京,100029 |
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| 摘 要： | 研究了一类由超平面和球面所构成的特殊的混杂构形，讨论了混杂构形的相交集的交半格以及混杂构形与原超平面构形的Mbius函数之间的关系，接着推广到多于一个球面的较为复杂的混杂构形，最后给出了混杂构形的特征多项式和房的计算公式。
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| 关 键 词： | 混杂构形 M(o)bius函数 特征多项式 |
| 修稿时间： | 2006-03-14 |
The characteristic polynomials of a class of mixed arrangements |
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| DONG Yun,JIANG GuangFeng.The characteristic polynomials of a class of mixed arrangements[J].Journal of Beijing University of Chemical Technology,2007,34(2):207-210. |
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| Authors: | DONG Yun JIANG GuangFeng |
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| Institution: | School of Science，Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | The lattice properties of a mixed arrangement A consisting of hyperplanes and spheres in Rl have been postulated and proved. The Mobius function of the mixed arrangement μA was subsequently derived. A class of mixed arrangements with more than one sphere was studied and, finally, the characteristic polynomials and the formulae for the number of chambers were obtained. |
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| Keywords: | mixed arrangement Mobius function characteristic polynomial |
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