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  • Two-arc-transitive bicircul...
    Jin, Wei

    Journal of combinatorial theory. Series B, November 2023, 2023-11-00, Letnik: 163
    Journal Article

    In this paper, we determine the class of finite 2-arc-transitive bicirculants. We show that a connected 2-arc-transitive bicirculant is one of the following graphs: C2n where n⩾2, K2n where n⩾2, Kn,n where n⩾3, Kn,n−nK2 where n⩾4, B(PG(d−1,q)) and B′(PG(d−1,q)) where d≥3 and q is a prime power, X1(4,q) where q≡3(mod4) is a prime power, Kq+12d where q is an odd prime power and d≥2 dividing q−1, ATQ(1+q,2d) where d|q−1 and d∤12(q−1), ATD(1+q,2d) where d|12(q−1) and d≥2, Γ(d,q,r), where d≥2, q is a prime power and r|q−1, Petersen graph, Desargues graph, dodecahedron graph, folded 5-cube, X(2,2), X′(3,2), X2(3), ATQ(4,12), GP(12,5), GP(24,5), B(H(11)), B′(H(11)), ATD(4,6) and ATD(5,6).