Arc-transitive cyclic and dihedral covers of pentavalent symmetric graphs of order twice a prime
Feng, Yan-Quan ; Yang, Da-Wei ; Zhou, Jin-Xin
Regularen krov povezanega grafa se imenuje cikličen oziroma diedrski, če je njegova transformacijska grupa ciklična oziroma diedrska, in ločno-tranzitiven (ali simetričen), če podgrupa avtomorfizmov, ...ki ohranjajo vlakna, deluje ločno-tranzitivno na regularnem krovu. V tem članku podamo klasifikacijo ločno-tranzitivnih cikličnih in diedrskih krovov povezanega petvalentnega simetričnega grafa, katerega red je dvakratnik praštevila. Vse takšne krove eksplicitno konstruiramo kot Cayleyjeve grafe nekih grup in določimo njihovo polno grupo avtomorfizmov.
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