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中文摘要：
一个三色有向图D是本原的,当且仅当存在非负整数h、k和v,且h＋k＋v〉0,使得D中的每一对顶点（i,j）都存在从i到j的（h,k,v）-途径,h＋k＋v的最小值定义为三色有向图D的本原指数.研究了一类三色有向图,它的未着色图中包含2佗-4个顶点,一个n-圈、一个（n-2）-圈和一个2-圈,给出了本原指数上界.
英文摘要：
A three-colored digraph D is primitive if and only if three exists nonnegative integers h, k and v with h ＋ k ＋ v 〉 0 such that for each pair （i, j） of vertices there exists a （h, k, v）-walk in D from i to j. The exponent of the primitive three-colored digraph D is the minimum value of h ＋ k ＋ v taken over all such h, k and v. A class of three-colored digraphs were studied whose uncolored digraph has 2n - 4 vertices, consists of one n-cycle, one （n - 2） -cycle and one 2-cycle. The tight upper bound on the primitive exponent were given.
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