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Some recent discoveries about half-arc-transitive graphs : dedicated to Dragan Marušič on the occasion of his 60th birthday
Conder, Marston D. E. ; Potočnik, Primož, 1971- ; Šparl, Primož
Predstavimo nekaj novih odkritij o grafih, ki so pol-ločno-tranzitivni (t.j., so vozliščno- in povezavno-tranzitivni, niso pa ločno-tranzitivni). Mednje sodi nedavno odkritje najmanjšega ...pol-ločno-tranzitivnega 4-valentnega grafa z ogliščnim stabilizatorjem reda 4, in najmanjšega z vozliščnim stabilizatorjem reda 8, dva nova pol-ločno-tranzitivna 4-valentna grafa z diedrskim vozliščnim stabilizatorjem ▫$D_4$▫ (reda 8), in prvi znani pol-ločno-tranzitivni 4-valentni graf z vozliščnim stabilizatorjem reda 16, ki ni niti abelski niti diedrski. Uporabimo tudi pol-ločno-tranzitivna grupna delovanja, da dobimo odgovor na nedavno Delormejevo vprašanje v zvezi z 2-ločno-tranzitivnimi digrafi, ki niso izomorfni njihovemu reverzu.
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