A new family of quasiprimitive 2-arc-transitive graphs of product action type

Li, Cai Heng; Ling, Bo; Wu, Ci Xuan

doi:10.1016/j.jcta.2017.02.007

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Cited by 3 publications

(2 citation statements)

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“…The proof is analogous to that of Lemma 3. 28,14,30,34,3,20,54,36,33,40,41,9,56,26,51,60,18,42,29,39,17,46,58,47,10,15,70,62,13,32,59,57,31,66,22,24,67,48,27,35,50,45,12,23,11,52,4,64,7,53,25,16,61,21,44,6,5,68,…”

Section: Twisted-twisted Typementioning

confidence: 99%

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Locally s-arc-transitive graphs arising from product action

Giudici

Swartz

2022

Ars Math. Contemp.

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We study locally s-arc-transitive graphs arising from the quasiprimitive product action (PA). We prove that, for any locally (G, 2)-arc-transitive graph with G acting quasiprimitively with type PA on both G-orbits of vertices, the group G does not act primitively on either orbit. Moreover, we construct the first examples of locally s-arc-transitive graphs of PA type that are not standard double covers of s-arc-transitive graphs of PA type, answering the existence question for these graphs.

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Section: Twisted-twisted Typementioning

confidence: 99%

“…The first examples of 2-arc-transitive graphs of PA type were given by Li and Seress [22] and studied further by Li, Seress, and Song [23]. Another family of quasiprimitive 2-arc-transitive graphs of PA type were constructed by Li, Ling, and Wu in [21].…”

Section: Introductionmentioning

confidence: 99%