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中文摘要：
非负矩阵对与双色有向图可建立一一对应关系，从而可把矩阵的问题转化为图的问题进行研究．考虑一类恰含一个公共点的双色有向图，它的未着色图中包含4n个顶点，一个（3n＋1）圈和一个圈，给出了本原条件和指数集，并对极图进行了刻画．
英文摘要：
An one-to-one relationship can be established between nonnegative matrix pairs and two- colored digraph, so the problem of matrix pairs can be transformed into the problem of graph. A class of two-colored digraphs with one common arc whose uncolored, digraph has 4n vertices and consists of one （3n ＋ 1 ） -cycle and one n- cycle is considered. Some primitive conditions, the exponent sets are giv- en, and the characterizations of extremal two-colored digraphs are depicted.
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