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13.
On vertex symmetric digraphs
Marušič, Dragan
Dokazana je naslednja trditev. Če je ▫$p$▫ praštevilo ▫$k$▫ in ▫$m\le p$▫ pozitivni celi števili in ▫$\Gamma$▫ po točkah tranzitiven graf (ali usmerjeni graf) reda ▫$p^k$▫ ali ▫$mp$▫, potem ima ...▫$\Gamma$▫ avtomorfizem, katerega vse orbite imajo dolžino ▫$p$▫. Podana je karakterizacija po točkah tranzitivnih grafov reda ▫$2p$▫, kjer ▫$2p$▫ ni kvadrat sestavljenega števila ter po točkah tranzitivnih grafov reda ▫$p^k^$▫.
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