Classification of cubic vertex-transitive tricirculants
Potočnik, Primož, 1971- ; Toledo, Micael, matematik
Končnemu grafu rečemo tricirkulant, če dopušča delovanje ciklične grupe avtorfizmov z natanko tremi, enako dolgimi orbitami na množici vozlišč. V članku klasificiramo vse končne povezane vozliščno ...tranzitivne tricirkulante. Dokažemo, da je z izjemo nekaj majhnih grafov z ne več kot 54 vozlišči vsak tak graf prizma reda ▫$6k$▫ za neko liho število ▫$k$▫ ali Möbiusova lestev ali pa pripada eni od dveh neskončnih družin, od katerih vsaka vsebuje natanko en graf reda ▫$6k$▫ za vsako liho število ▫$k$▫.
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