On finite edge-primitive and edge-quasiprimitive graphs

نویسندگان

Michael Giudici

Cai Heng Li

چکیده

Many famous graphs are edge-primitive, for example, the Heawood graph, the Tutte–Coxeter graph and the Higman–Sims graph. In this paper we systematically analyse edge-primitive and edge-quasiprimitive graphs via the O’Nan–Scott Theorem to determine the possible edge and vertex actions of such graphs. Many interesting examples are given and we also determine all G-edge-primitive graphs for G an almost simple group with socle PSL(2, q).

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Se p 20 09 On finite edge - primitive and edge - quasiprimitive graphs ∗

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