一类图构形的φ_n不变量  

Invariant φ_n of a class of graphic arrangements

作　　者：葛婷[1] 姜广峰[1] 

机构地区：[1]北京化工大学理学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2009年第B11期120-123,共4页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(10671009)

摘　　要：定义了超平面构形的一个不变量φn,它是Falk的φ3不变量的一个推广。研究了一类特殊的图构形,它们所对应的图由l个n边形组成,使其相邻两个n边形有一条公共边,这种图叫做长度为l的n边梯子,通过逻辑推导与论证得出关于n边梯子构形的φn不变量的结论φn=(n-1)l。An invariant Фn of hyperplane arrangements is defined, which is a generalization of invariant Ф3 defined by Falk. A special class of graphic arrangements are studied, which are determined by a kind of graphs called nedge ladder. This kind of graphs consist of l polygons and each two adjacent polygons have a common edge. And it is proved that Фn = （n - 1）l for n-edge ladder arrangements through logical calculation and demonstration.

关 键 词：图构形 n边梯子 φn不变量 

分 类 号：O157[理学—数学]