Fractional revival on Cayley graphs over abelian groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866917566688002048 |
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| author | Wang, Jing Wang, Ligong Liu, Xiaogang |
| author_facet | Wang, Jing Wang, Ligong Liu, Xiaogang |
| contents | In this paper, we investigate the existence of fractional revival on Cayley graphs over finite abelian groups. We give a necessary and sufficient condition for Cayley graphs over finite abelian groups to have fractional revival. As applications, the existence of fractional revival on circulant graphs and cubelike graphs are characterized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_12584 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Fractional revival on Cayley graphs over abelian groups Wang, Jing Wang, Ligong Liu, Xiaogang Combinatorics 05C50, 81P68 In this paper, we investigate the existence of fractional revival on Cayley graphs over finite abelian groups. We give a necessary and sufficient condition for Cayley graphs over finite abelian groups to have fractional revival. As applications, the existence of fractional revival on circulant graphs and cubelike graphs are characterized. |
| title | Fractional revival on Cayley graphs over abelian groups |
| topic | Combinatorics 05C50, 81P68 |
| url | https://arxiv.org/abs/2206.12584 |