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一类本原有向图的第k个顶点指数的研究
引用本文:庄晓琼. 一类本原有向图的第k个顶点指数的研究[J]. 中山大学学报(自然科学版), 2004, 43(1): 16-20
作者姓名:庄晓琼
作者单位:华南师范大学学报编辑部,广东,广州,510631
摘    要:广义本原指数的上界和相应的指数集的确定是广义本原指数研究的重要问题.给出了围长为2的n阶本原有向图的第k个顶点指数(expn(k))的上界及相应的指数集.

关 键 词:本原有向图  顶点指数  指数集
文章编号:0529-6579(2004)01-0016-05
修稿时间:2003-03-17

The Upper Bound and the Index Set for k-th Generalized Primitive Exponents of Primitive Digraphs with Girth 2
ZHUANG Xiao-qiong. The Upper Bound and the Index Set for k-th Generalized Primitive Exponents of Primitive Digraphs with Girth 2[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2004, 43(1): 16-20
Authors:ZHUANG Xiao-qiong
Abstract:The determination of upper bounds and corresponding exponent sets for different digraph classes is an important problem in the study of generalized primitive exponents. An upper bound for k-th generalized primitive exponents of primitive digraphs with order and girth 2 is given, and the exponent set of this class of digraphs is determined.
Keywords:primitive digraphs  k-th generalized primitive exponents  the exponent set
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