某类本原不可幂定号有向图的Local基  

Local Base of a Primitive,Non-Powerful Signed Digraph

作　　者：刘旭静[1] 高玉斌[1] 

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《太原师范学院学报（自然科学版）》2011年第4期11-13,31,共4页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：山西省自然科学基金资助项目(2008011009)

摘　　要：文章研究了一类含有三个圈的n阶本原不可幂定号有向图,根据图形的特点,分析其中是否含有所定义的SSSD途径对,并综合运用异圈对,SSSD途径对及Frobenius数的相关理论,进而得出这类本原不可幂定号有向图的Local基.The local base of a primitive,non-powerful signed digraph with three cycles of order n is studied.With the analysis of whether there is a SSSD walks in the digraph and the characteristics of distinguished cycle pair and Frobenius,the local base of this kind of primitive non-powerful signed digraph are concluded.

关 键 词：本原图 定号有向图 SSSD途径对 Local基 

分 类 号：O157.5[理学—数学]