We prove that connected vertex-transitive digraphs of order p(5) (where p is a prime) are Hamiltonian, and a connected digraph whose automorphism group contains a finite vertex-transitive subgroup G of prime power order such that G' is generated by two elements or elementary abelian is Hamiltonian.
机构:
Yunnan Normal Univ, Sch Math, Kunming 650092, Yunnan, Peoples R China
Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R ChinaYunnan Normal Univ, Sch Math, Kunming 650092, Yunnan, Peoples R China
Wang, Shou-feng
Zhang, Di
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Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R ChinaYunnan Normal Univ, Sch Math, Kunming 650092, Yunnan, Peoples R China