Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks
This paper investigated the Kronecker product (KP) decomposition of the Boolean matrix and analyzed the topological structure of Kronecker product Boolean networks (KPBNs). First, the support matrix set of the Boolean matrix consisting of support matrices was defined. Second, a verifiable condition...
| 发表在: | Mathematical Modelling and Control |
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| Main Authors: | , , |
| 格式: | 文件 |
| 语言: | 英语 |
| 出版: |
AIMS Press
2023-12-01
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| 主题: | |
| 在线阅读: | https://www.aimspress.com/article/doi/10.3934/mmc.2023025?viewType=HTML |
| _version_ | 1852659295949160448 |
|---|---|
| author | Xiaomeng Wei Haitao Li Guodong Zhao |
| author_facet | Xiaomeng Wei Haitao Li Guodong Zhao |
| author_sort | Xiaomeng Wei |
| collection | DOAJ |
| container_title | Mathematical Modelling and Control |
| description | This paper investigated the Kronecker product (KP) decomposition of the Boolean matrix and analyzed the topological structure of Kronecker product Boolean networks (KPBNs). First, the support matrix set of the Boolean matrix consisting of support matrices was defined. Second, a verifiable condition was presented for the KP decomposition of the Boolean matrix based on the support matrices. Third, the equivalence of KP decomposition between the Boolean matrix and support matrix set was established. Finally, the KP decomposition of Boolean matrix was used to analyze the topological structure of KPBNs. It was shown that the topological structure of KPBNs can be determined by that of the factor of Boolean networks (BNs). |
| format | Article |
| id | doaj-art-e4065debae1e4827bf7a5bebcbc1000f |
| institution | Directory of Open Access Journals |
| issn | 2767-8946 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| spelling | doaj-art-e4065debae1e4827bf7a5bebcbc1000f2025-08-19T21:37:28ZengAIMS PressMathematical Modelling and Control2767-89462023-12-013430631510.3934/mmc.2023025Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networksXiaomeng Wei0Haitao Li1Guodong Zhao2 School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan 250358, ChinaThis paper investigated the Kronecker product (KP) decomposition of the Boolean matrix and analyzed the topological structure of Kronecker product Boolean networks (KPBNs). First, the support matrix set of the Boolean matrix consisting of support matrices was defined. Second, a verifiable condition was presented for the KP decomposition of the Boolean matrix based on the support matrices. Third, the equivalence of KP decomposition between the Boolean matrix and support matrix set was established. Finally, the KP decomposition of Boolean matrix was used to analyze the topological structure of KPBNs. It was shown that the topological structure of KPBNs can be determined by that of the factor of Boolean networks (BNs).https://www.aimspress.com/article/doi/10.3934/mmc.2023025?viewType=HTMLkp decompositionboolean matrixbnstopological structure |
| spellingShingle | Xiaomeng Wei Haitao Li Guodong Zhao Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks kp decomposition boolean matrix bns topological structure |
| title | Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks |
| title_full | Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks |
| title_fullStr | Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks |
| title_full_unstemmed | Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks |
| title_short | Kronecker product decomposition of Boolean matrix with application to topological structure analysis of Boolean networks |
| title_sort | kronecker product decomposition of boolean matrix with application to topological structure analysis of boolean networks |
| topic | kp decomposition boolean matrix bns topological structure |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2023025?viewType=HTML |
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