摘要
双色有向图与非负矩阵对可建立一一对应关系,从而将矩阵对的问题转化为图的问题进行研究.借助图论知识,考虑一类含有偶数个顶点的双色有向图,给出本原条件、指数界、指数集,并对极图进行了刻画.
There is a one-to-one relationship between nonnegative matrix pairs and two-colored digraph. So the problem of matrix pairs can be transformed into the problem of graphics. With the knowl- edge of graph theory,a class of two-colored digraphs with even vertices is considered. The primitive condition, exponent bound,exponent set and characteristic of extral two-colored digraphs are given.
出处
《内蒙古师范大学学报(自然科学汉文版)》
CAS
北大核心
2014年第1期13-18,共6页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11071227)
广西自然科学基金资助项目(2013GXNSFBA019022)
广西教育厅项目(201010LX468)
关键词
双色有向图
矩阵对
本原条件
指数界
指数集
two-colored digrap
matrix pairs
primitive condition
exponent bound
exponent set