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13.
Arc-transitive graphs of valency 8 have a semiregular automorphism
Verret, Gabriel
Ena od verzij policirkulantne domneve pravi, da ima vsak vozliščno-tranzitiven graf ne-identičen polregularen avtomorfizem, t. j. ne-identičen avtomorfizem, katerega cikli imajo vsi isto dolžino. To ...domnevo dokažemo za ločno-tranzitivne grafe stopnje 8, kar je bila doslej najmanjša stopnja, za katero domneva še ni potrjena
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