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一类双色有向图的本原指数的上界
引用本文:康育会,王建中,胡红萍.一类双色有向图的本原指数的上界[J].山西师范大学学报,2010(4).
作者姓名:康育会  王建中  胡红萍
作者单位:中北大学数学系;长治医学院数学教研室;
基金项目:国家自然科学基金资助项目(60773131); 山西省自然科学基金项目(2008011010)
摘    要:本文通过对一类含有3个圈的双色有向图进行着色,研究了各种着色情况下的本原性及本原指数,得到了本原指数的紧的上界.

关 键 词:本原指数  双色有向图  圈矩阵  

The Tight Upper Bound on the Exponents of a Class of Two-colored Digraphs
KANG Yu-hui,WANG Jian-zhong,HU hong-ping.The Tight Upper Bound on the Exponents of a Class of Two-colored Digraphs[J].Journal of Shanxi Teachers University,2010(4).
Authors:KANG Yu-hui  WANG Jian-zhong  HU hong-ping
Institution:KANG Yu-hui,WANG Jian-zhong,HU hong-ping(1.Department of Mathematics,North University of China,Taiyuan 030051,Shanxi,China,2.Mathematics Teaching and Research Group,Changzhi Medical College,Changzhi 046000,China)
Abstract:By coloring a special two-colored digraphs whose uncoloed digraph consists of 3 cycles,we discuss their primitive and exponent and get the tight upper bound on the exponents.
Keywords:primitive exponent  two-colored digraph  cycle matrix  
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