Cayleyjev (oz. bi-Cayleyjev) graf diedrske grupe se imenuje diedrski (oz. bi-diedrski graf). Leta 2000 sta Marušič in Pisanski predstavila klasifikacijo trivalentnih ločno-tranzitivnih diedrskih ...grafov, nekaj let kasneje pa so Feng in dr. klasificirali tiste trivalentne diedrske grafe reda ▫$4p$▫ ali ▫$8p$▫ (kjer je ▫$p$▫ praštevilo), ki niso ločno tranzitivni. V tem članku posplošiva te rezultate; najprej predstaviva klasifikacijo tistih trivalentnih diedrskih grafov, ki niso ločno tranzitivni. Na tej osnovi podava popolno klasifikacijo trivalentnih točkovno tranzitivnih ne-Cayleyjevih bi-diedrskih grafov, s čimer zaključiva raziskavo trivalentnih bi-diedrskih grafov, ki sva jo začela v najinem prejšnjem članku [Discrete Math. 340 (2017) 1757-1772]. Poleg tega posplošiva še izrek iz The Electron. J. Comb. 19, No. 1, Research Paper P53, 13 p. (2012)].
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