five

Arc-transitive bidihedrants

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中国科学数据2026-01-16 更新2026-04-25 收录
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https://www.sciengine.com/AA/doi/10.1360/SSM-2024-0235
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A permutation group on a set is said to be bi-regular if it is semiregular and has two orbits. In this paper, we give a classification of quasiprimitive permutation groups with a bi-regular dihedral subgroup. As applications, we characterize the family of arc-transitive graphs whose automorphism groups contain a bi-regular dihedral subgroup.We also find some new families of graphs as examples.
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2024-10-24
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