| 尤利华,易叔勇.具有第二大基指数的本原对称带号有向图的刻画[J].数学研究及应用,2013,33(4):379~391 |
| 具有第二大基指数的本原对称带号有向图的刻画 |
| The Characterization of Primitive Symmetric Signed Digraphs with the Second Maximum Base |
| 投稿时间：2012-02-09 修订日期：2012-10-09 |
| DOI：10.3770/j.issn:2095-2651.2013.04.001 |
| 中文关键词: 矩阵 对称 本原 不可幂 基指数 带号有向图. |
| 英文关键词:matrix symmetric primitive non-powerful base signed digraph. |
| 基金项目:国家自然科学基金(Grant Nos.10901061; 11071088), 广州市珠江科技新星项目(Grant No.2011J2200090), 广东省国际科技合作创新平台项目(Grant No.2012gjhz0007). |
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| 中文摘要: |
| 最近,具有第一大基指数$2n$的$n$阶本原对称带号有向图和具有第一大基指数$2n-1$的$n$阶本原对称无环的带号有向图分别得到了刻画.本文首先刻画了具有基指数$2n-1$的$n$阶本原对称带环的带号有向图,进而给出了具有第二大基指数$2n-1$的$n$阶本原对称带号有向图的刻画. |
| 英文摘要: |
| Recently, the primitive symmetric signed digraphs on $n$ vertices with the maximum base $2n$ and the primitive symmetric loop-free signed digraphs on $n$ vertices with the maximum base $2n-1$ are characterized, respectively. In this paper, the primitive symmetric signed digraphs with loops on $n$ vertices with the base $2n-1$ are characterized, and then the primitive symmetric signed digraphs on $n$ vertices with the second maximum base $2n-1$ are characterized. |
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