V članku raziskujemo strukturo ogliščno- in povezavno tranzitivnih krepko regularnih grafov, pri čemer si pomagamo z normalno kvocientno redukcijo. Tako pokažemo, da imajo ireducibilni grafi iz te ...družine kvaziprimitivne grupe avtomorfizmov, in dokažemo (s pomočjo klasifikacije končnih enostavnih grup), da noben graf iz te družine nima holomorfne enostavne grupe avtomorfizmov. Najdemo tudi nekaj omejitev v zvezi s parametri grafov iz te družine, reducibilnih na polne grafe.
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