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- W2122613243 abstract "Let Γ be an X-symmetric graph admitting an X-invariant partition ℬ︁ on V(Γ) such that Γℬ︁ is connected and (X, 2)-arc transitive. A characterization of (Γ, X, ℬ︁) was given in [S. Zhou Eur J Comb 23 (2002), 741–760] for the case where |B|>|Γ(C)∩B|=2 for an arc (B, C) of Γℬ︁.We con-sider in this article the case where |B|>|Γ(C)∩B|=3, and prove that Γ can be constructed from a 2-arc transitive graph of valency 4 or 7 unless its connected components are isomorphic to 3K2, C6 or K3, 3. As a byproduct, we prove that each connected tetravalent (X, 2)-transitive graph is either the complete graph K5 or a near n-gonal graph for some n⩾4. © 2010 Wiley Periodicals, Inc. J Graph Theory 65: 232–245, 2010" @default.
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- W2122613243 date "2010-11-01" @default.
- W2122613243 modified "2023-09-23" @default.
- W2122613243 title "A class of symmetric graphs with 2-arc transitive quotients" @default.
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- W2122613243 doi "https://doi.org/10.1002/jgt.20476" @default.
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