| The Characterization of Primitive Symmetric Signed Digraphs with the Second Maximum Base |
| Received:February 09, 2012 Revised:October 09, 2012 |
| Key Words:
matrix symmetric primitive non-powerful base signed digraph.
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10901061; 11071088), the Zhujiang Technology New Star Foundation of Guangzhou (Grant No.2011J2200090) and Program on International Cooperation and Innovation of Guangdong Province Education Department (Grant No.2012gjhz0007). |
|
| Hits: 2712 |
| Download times: 2312 |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.04.001 |
| View Full Text View/Add Comment |
