Cayley graphs and G-graphs of Gyro-groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916230032523264 |
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| author | Moradi, Neda Fath-Tabara, Gholam Hossein Bretto, Alain |
| author_facet | Moradi, Neda Fath-Tabara, Gholam Hossein Bretto, Alain |
| contents | In this paper the structure of the Cayley graphs and G-graphs of some gyro-groups are studied and some properties of them will be proved. Moreover we review some special gyro-groups including: gyro-commutative gyrogroups, dihedral gyro-groups and dihedralized gyro-groups. Then we try to establish some important properties of their associated G-graphs. Finally we will examine the symmetry of Cayley graphs and G-graphs of some gyro-groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cayley graphs and G-graphs of Gyro-groups Moradi, Neda Fath-Tabara, Gholam Hossein Bretto, Alain Combinatorics Group Theory In this paper the structure of the Cayley graphs and G-graphs of some gyro-groups are studied and some properties of them will be proved. Moreover we review some special gyro-groups including: gyro-commutative gyrogroups, dihedral gyro-groups and dihedralized gyro-groups. Then we try to establish some important properties of their associated G-graphs. Finally we will examine the symmetry of Cayley graphs and G-graphs of some gyro-groups. |
| title | Cayley graphs and G-graphs of Gyro-groups |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2404.19741 |