两类本原不可幂定号有向图基的界

胡红萍

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两类本原不可幂定号有向图基的界

更新时间：2026-09-14

- 两类本原不可幂定号有向图基的界
- 两类本原不可幂定号有向图基的界
- Issue 5, (2011)
- 作者机构：
  
  中北大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2011
- 稿件说明：
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胡红萍. 两类本原不可幂定号有向图基的界[J]. 2011, (5).
DOI：

胡红萍. 两类本原不可幂定号有向图基的界[J]. 2011, (5). DOI：

摘要

利用图论和矩阵理论的方法

讨论了两类本原不可幂定号有向图

研究了仅有两个圈的本原不可幂定号有向图Ds

t和其中有两个圈长相同但仅有三个圈的不可幂定号有向图Ds

q的基的界

利用定号有向图基的定义和Frobenius数得到了仅有两个圈的本原不可幂定号有向图Ds

j的基

刻划了定号有向图Ds

q基的界.

Abstract

By using graph theory and matrix theory

two classes of primitive non-powerful signed digraphs were discussed.The bounds of the bases of the primitive non-powerful signed digraphs Ds

t with two cycles and those with three cycles in which two cycles have the same length were researched.By using the definition of the base of signed digraphs and the Frobenius number

the bases on the signed digraphs Ds

t were obtained and the bounds of the bases on the signed digraphs Ds

q were characterized.

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