一类特殊本原不可幂定号有向图的广义基  

The Local Bases of a Special Class of Primitive Non-powerful Signed Digraphs

作　　者：代爱凤[1] 邵燕灵[1] 

机构地区：[1]中北大学数学系,太原030051

出　　处：《河南师范大学学报（自然科学版）》2013年第1期6-10,共5页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11071227);山西省回国留学人员科研资助项目(12-070)

摘　　要：要考虑了一类含有3个圈(其中两个圈的长度相等但不相交)的本原不可幂定向有向图.通过分析图中是否存在寻求的途径及SSSD途径对,运用本原不可幂定号有向图和Frobenius数的性质及定义,给出了此类图中两个特殊图的广义本原指数和广义基.In this paper, we considered a special class of primitive non-powerful signed digraphs which contained three cycles, two cycles of which are not intersect but the lengths are equal. Through the analysis of whether there are seeking way and a pair of SSSD walks in digraphs, by using some of the definition and nature about the primitive non-powerful signed digraphs and Frobenius number, we give the local primitive exponents and local bases of such two special digraphs.

关 键 词：本原不可幂定号有向图 广义本原指数 广义基 

分 类 号：O157.5[理学—数学]