Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography
Using asymmetric topology cryptography to encrypt networks on the basis of topology coding is a new topic of cryptography, which consists of two major elements, i.e., topological structures and mathematical constraints. The topological signature of asymmetric topology cryptography is stored in the c...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/5/720 |
| _version_ | 1797600259656908800 |
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| author | Meimei Zhao Hongyu Wang Bing Yao |
| author_facet | Meimei Zhao Hongyu Wang Bing Yao |
| author_sort | Meimei Zhao |
| collection | DOAJ |
| description | Using asymmetric topology cryptography to encrypt networks on the basis of topology coding is a new topic of cryptography, which consists of two major elements, i.e., topological structures and mathematical constraints. The topological signature of asymmetric topology cryptography is stored in the computer by matrices that can produce number-based strings for application. By means of algebra, we introduce every-zero mixed graphic groups, graphic lattices, and various graph-type homomorphisms and graphic lattices based on mixed graphic groups into cloud computing technology. The whole network encryption will be realized by various graphic groups. |
| first_indexed | 2024-03-11T03:46:04Z |
| format | Article |
| id | doaj.art-c7a33792964c4db2b696a86ffd7dd35e |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T03:46:04Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-c7a33792964c4db2b696a86ffd7dd35e2023-11-18T01:15:26ZengMDPI AGEntropy1099-43002023-04-0125572010.3390/e25050720Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology CryptographyMeimei Zhao0Hongyu Wang1Bing Yao2College of Science, Gansu Agricultural University, Lanzhou 730070, ChinaNational Computer Network Emergency Response Technical Team/Coordination Center of China, Beijing 100029, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaUsing asymmetric topology cryptography to encrypt networks on the basis of topology coding is a new topic of cryptography, which consists of two major elements, i.e., topological structures and mathematical constraints. The topological signature of asymmetric topology cryptography is stored in the computer by matrices that can produce number-based strings for application. By means of algebra, we introduce every-zero mixed graphic groups, graphic lattices, and various graph-type homomorphisms and graphic lattices based on mixed graphic groups into cloud computing technology. The whole network encryption will be realized by various graphic groups.https://www.mdpi.com/1099-4300/25/5/720graphic groupmixed graphic group latticegraphic coloringgraph homomorphismgraphic categorynetwork encryption |
| spellingShingle | Meimei Zhao Hongyu Wang Bing Yao Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography Entropy graphic group mixed graphic group lattice graphic coloring graph homomorphism graphic category network encryption |
| title | Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography |
| title_full | Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography |
| title_fullStr | Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography |
| title_full_unstemmed | Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography |
| title_short | Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography |
| title_sort | graphic groups graph homomorphisms and graphic group lattices in asymmetric topology cryptography |
| topic | graphic group mixed graphic group lattice graphic coloring graph homomorphism graphic category network encryption |
| url | https://www.mdpi.com/1099-4300/25/5/720 |
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