某类本原不可幂定号有向图的第一类广义基

The First Type of Generalized Base of a Primitive Non-powerful Signed Digraph

利用有关本原不可幂定号有向图的相关理论方法,对某类含有三个圈的本原不可幂定号有向图进行了研究.根据图形的性质,综合运用SSSD途径对、Frobenius指数和异圈对的相关理论,进而得出这类本原不可幂定号有向图的第一类广义基,即Local基.

In this paper, we study a kind of primitive non-powerful signed digraphs with three simpe cycles by using some theory of the primitive non-powerful signed digraphs. The local base of this special primitive non-powerful signed digraph are obtained by analyzing the characteristics of SSSD walks, Frobenius and distinguished cycle pair.