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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.03944 |
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| _version_ | 1866908992928743424 |
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| author | Pan, Jiangmin Wu, Cixuan Zhang, Yingnan Zou, Hanlin |
| author_facet | Pan, Jiangmin Wu, Cixuan Zhang, Yingnan Zou, Hanlin |
| contents | In this paper, we study 2-geodesic-transitive graphs of order twice an odd prime power. Classifications of corresponding basic graphs and such graphs with almost simple automorphism groups are given, and a reduction theorem for general case is obtained. Certain new 2-geodesic-transitive graphs are found, and a Magma code regarding 2-geodesic-transitive graphs is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03944 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 2-Geodesic-transitive graphs of order twice a prime power Pan, Jiangmin Wu, Cixuan Zhang, Yingnan Zou, Hanlin Combinatorics In this paper, we study 2-geodesic-transitive graphs of order twice an odd prime power. Classifications of corresponding basic graphs and such graphs with almost simple automorphism groups are given, and a reduction theorem for general case is obtained. Certain new 2-geodesic-transitive graphs are found, and a Magma code regarding 2-geodesic-transitive graphs is provided. |
| title | 2-Geodesic-transitive graphs of order twice a prime power |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2604.03944 |