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## 留言板

 引用本文: 王卓, 王成红. 复杂无向图的同构判定方法. 自动化学报, 2024, 50(6): 1143−1150
Wang Zhuo, Wang Cheng-Hong. Isomorphism determination methods for complex undirected graphs. Acta Automatica Sinica, 2024, 50(6): 1143−1150 doi: 10.16383/j.aas.c230612
 Citation: Wang Zhuo, Wang Cheng-Hong. Isomorphism determination methods for complex undirected graphs. Acta Automatica Sinica, 2024, 50(6): 1143−1150

## Isomorphism Determination Methods for Complex Undirected Graphs

Funds: Supported by Key Area Research and Development Program of Guangdong Province (2021B0101410005) and National Natural Science Foundation of China (61673041)
###### Author Bio: WANG Zhuo　Professor at the School of Instrumentation and Optoelectronic Engineering, Beihang University. He received his Ph.D. degree in Electrical and Computer Engineering Department, University of Illinois at Chicago, USA in 2013. His research interest covers data-based system analysis and control methods, and network theory. Corresponding author of this paper WANG Cheng-Hong　Fellow researcher of the Council of Chinese Association of Automation. He received his Ph.D. degree in 1997. His research interest covers operational research and cybernetics, and graph theory and its applications
• 摘要: 针对一般复杂无向图的同构判定问题, 给出了基于邻接矩阵之和的特征多项式判定条件; 针对复杂无向连通图的同构判定问题, 给出了基于距离矩阵特征多项式和邻接矩阵特征多项式的同构判定条件, 将该条件用于复杂无向不连通图的各个连通子图, 就可解决复杂无向不连通图的同构判定问题. 上述两个判定条件均是充要条件且当复杂无向图退化为简单无向图时仍然适用.
• 图  1  例1中的各对应图

Fig.  1  Corresponding figures of Example 1

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##### 出版历程
• 收稿日期:  2023-10-03
• 录用日期:  2024-03-15
• 网络出版日期:  2024-05-29
• 刊出日期:  2024-06-20

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