一类特殊非负矩阵对的本原指数  

The Primitive Exponent of a Class of Special Nonnegative Matrix Pairs

作　　者：罗美金 LUO Mei-jin(School of Mathematics and Statistics, Hechi University, Yizhou 546300,Chin)

机构地区：[1]河池学院数学与统计学院,广西宜州546300

出　　处：《云南师范大学学报（自然科学版）》2018年第2期21-26,共6页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：广西壮族自治区教育厅科研基金资助项目(YB2014335;KY2015ZD103)

摘　　要：根据图论知识,利用非负矩阵对的伴随有向图(即双色有向图)来解决非负矩阵对的本原指数问题.考虑一类含有一条公共弧的双色有向图,它的未着色图中包含(5n-9)/4个顶点,一个n-圈和一个(n-1)/4-圈,给出了本原条件、指数界,并刻画了极图.With the knowledge of graph theory,the problem of primitive exponent of nonnegative matrix pairs can be transformed into the associated directed digraph of nonnegative matrix pairs,that is two-colored digraphs.A class of two-colored digraphs with one common arc whose uncolored digraph has （5n-9）/4 vertices and consists of one n-cycle and one （n-1）/4-cycle is considered.The primitive conditions,the bound of exponent,and the characterizations of extremal two-colored digraphs are given.

关 键 词：非负 矩阵对 本原指数 

分 类 号：O157.5[理学—数学]