一个本原有向图的广义competition指数及广义scrambling指数  

Generalized competition indices and generalized scrambling indices of a primitive directed digraph

作　　者：申森[1,2] 邵燕灵[1] 

机构地区：[1]中北大学理学院,太原030051 [2]太原学院数学系,太原030032

出　　处：《黑龙江大学自然科学学报》2015年第4期433-438,561,共6页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11071227);山西省留学回国人员科研资助项目(2012-070)

摘　　要：研究一个含有一个n-1圈、两个n-2圈的本原有向图,结合它的特点,对图中的每一点经过k长途径所到达的点集合进行分析,根据广义competition指数与广义scrambling指数定义,得到此n阶本原有向图的广义competition指数及广义scrambling指数。Consider a primitive directed digraph with an（ n- 1）-cycle and two（ n- 1）-cycles. For every vertex,the set formed by the vertexes which are arrived by a walk of length k from the vertex is analyzed.The generalized competition indices and generalized scrambling indices of the primitive directed digraph are obtained.

关 键 词：本原有向图 点 途径 广义competition指数 广义scrambling指数 

分 类 号：O157.5[理学—数学]