为了进一步了解本原不可幂定号有向图基的相关性质,对两类含有四个圈的本原不可幂定号有向图的基进行了研究.利用有关本原不可幂定号有向图的引理及定义,并分析有向图的性质,综合运用指数、SSSD途径对和图的直径分别求其上、下界,从而得到了两类有向图基的界.若上界与下界相等,则可得到其基的具体值.
The bases of two special classes of primitive non-powerful signed digraphs with four simple Coops were studied to research the related properties about primitive non-powerful signed digraphs.Through some lemmas and definition of the primitive non-powerful signed digraphs,and the analysis of the signed digraph,and using the knowledge of primitive exponent,SSSD walks and the diameter of a digraph,we obtain the bounds on the bases of two special classes of signed digraphs.If the upper bounds are equal with the lower bounds,the specific value of the bases is obtained.