一个恰含三个圈的本原不可幂定号有向图的基  

Bases of a Primitive Non-powerful Signed Digraph that Just Has Three Cycles

作　　者：赵晶[1] 高玉斌[1] 

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《天中学刊》2011年第5期1-3,共3页Journal of Tianzhong

基　　金：山西省自然科学基金资助项目(2008011009)

摘　　要：为了进一步了解本原不可幂定号有向图的基的特点及有关性质,对一个特殊的本原不可幂定号有向图的基进行了研究.通过分析这个图的特点,运用反证法并结合图中的本原指数、点指数、基指数、Frobenius集、可幂与不可幂及"异圈对"等定义和性质得出基的具体值.In order to further understand characteristics and properties of the bases of primitive non-powerful signed digraph,a primitive non-powerful signed digraph with three cycles are studied in this work.By analyzing the features of the digraph,using apagoge and knowledge about primitive exponents,point exponents,bases,Frobenius set,powerful,non-powerful and ＂distinguished cycle pair＂,then the true values of bases are got.

关 键 词：本原 定号有向图 不可幂 基 

分 类 号：O157.5[理学—数学]