Pretty good plus state transfer in cycles
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917351553761280 |
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| author | Mohapatra, Sarojini Pal, Hiranmoy |
| author_facet | Mohapatra, Sarojini Pal, Hiranmoy |
| contents | We investigate fractional revival in graphs with respect to the adjacency, Laplacian, and signless Laplacian matrices. We observe that, under certain conditions, fractional revival is preserved under graph complementation. Then we establish a connection between fractional revival in a graph and in its double cover, and obtain a complete characterization of pretty good plus state transfer in cycles and their complements. This leads to characterizations of pretty good vertex state transfer in weighted paths with potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17595 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pretty good plus state transfer in cycles Mohapatra, Sarojini Pal, Hiranmoy Combinatorics Quantum Physics 15A16, 05C50, 81P45 We investigate fractional revival in graphs with respect to the adjacency, Laplacian, and signless Laplacian matrices. We observe that, under certain conditions, fractional revival is preserved under graph complementation. Then we establish a connection between fractional revival in a graph and in its double cover, and obtain a complete characterization of pretty good plus state transfer in cycles and their complements. This leads to characterizations of pretty good vertex state transfer in weighted paths with potential. |
| title | Pretty good plus state transfer in cycles |
| topic | Combinatorics Quantum Physics 15A16, 05C50, 81P45 |
| url | https://arxiv.org/abs/2603.17595 |