超平面构形相交偏序集及其元素的Mbius函数值的算法

An algorithm for computing the intersection of a partially ordered set and its Mbius function of hyperplane arrangements

给出了超平面构形的相交偏序集中元素及其Mbius函数值的有效算法,同时给出了构形的特征多项式的算法。对三维空间中不多于5个平面的构形在L-等价下进行了分类。

An algorithm for computing the intersection of a partially ordered set and its Mbius function for hyperplane arrangements is formulated. This algorithm gives the characteristic polynomial of the arrangement. A classification of arrangements with at most five planes in three-dimensional space was made under the L-equivalence.