Li Cui

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math.CO2018

Metacirculants and split weak metacirculants

Li Cui, Jin-Xin Zhou

Metacirculants are a rich resource of many families of interesting graphs, and weak metacirculants are generalizations of them. A graph is called a {\em split weak metacirculant} i…

math.CO2018

Absolutely split metacyclic groups and weak metacirculants

Li Cui, Jin-Xin Zhou

Let $m, n, r$ be positive integers, and let $G = ⟨ a ⟩ : ⟨ b ⟩ ≅ Z_{n} : Z_{m}$ be a split metacyclic group such that $b^{- 1} ab = a^{r}$ . We say that…