| 具有第二大基指数的本原对称带号有向图的刻画 |
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| 引用本文： | 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. |
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| 作者姓名： | 尤利华 易叔勇 |
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| 作者单位： | 华南师范大学数学科学学院，广东 广州 510631;华南师范大学数学科学学院，广东 广州 510631 |
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| 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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| 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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| 关 键 词： | matrix symmetric primitive non-powerful base signed digraph. |
| 收稿时间： | 2/9/2012 12:00:00 AM |
| 修稿时间： | 2012/10/9 0:00:00 |
The Characterization of Primitive Symmetric Signed Digraphs with the Second Maximum Base |
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| Lihua YOU and Shuyong YI.The Characterization of Primitive Symmetric Signed Digraphs with the Second Maximum Base[J].Journal of Mathematical Research with Applications,2013,33(4):379-391. |
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| Authors: | Lihua YOU and Shuyong YI |
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| Institution: | School of Mathematical Sciences, South China Normal University, Guangdong 510631, P.R.China |
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| Abstract: | 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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| Keywords: | matrix symmetric primitive non-powerful base signed digraph |
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