一类三圈三色本原有向图指数上界  

Upper bound of exponent of a class of primitive three-colored digraphs with three cycles

作　　者：罗美金 侯宗毅 

机构地区：[1]河池学院数学与统计学院,广西宜州546300

出　　处：《兰州理工大学学报》2018年第1期151-154,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11561019);广西自然科学基金(2013GXNSFBA019022);广西高校科研项目(YB2014335;KY2015ZD103);山西省高等学校科技创新项目(20151113)

摘　　要：根据非负本原矩阵簇与其伴随有向图的一一对应关系,研究了一类三圈三色本原有向图,它的未着色图中包含n个顶点,一个n-圈、一个(n-3)-圈和一个2-圈,给出了本原条件和本原指数上界.According to the one-to-one relationship of nonnegative primitive matrix cluster to its associated digraph,a class of primitive three-colored three-cycled digraphs with its uncolored digraph with nvertices,one n-cycle,one（n-3）-cycle,and one 2-cycle is studied.The primitive conditions and upper bound of primitive exponents are given out.

关 键 词：本原 三色图 有向图 指数 上界 

分 类 号：O157.5[理学—数学]