Geodesic
Vertex-transitive digraphs of order \(p^5\) are Hamiltonian
Jun-Yang Zhang1
1Minnan Normal University
The electronic journal of combinatorics, Tome 22 (2015) no. 1
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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.
DOI : 10.37236/4034
Classification : 05C45, 05C20, 05C25
Mots-clés : vertex-transitive digraphs, Hamilton cycles, coset digraphs

Jun-Yang Zhang  1

1 Minnan Normal University 
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     author = {Jun-Yang Zhang},
     title = {Vertex-transitive digraphs of order \(p^5\) are {Hamiltonian}},
     journal = {The electronic journal of combinatorics},
     year = {2015},
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     number = {1},
     doi = {10.37236/4034},
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Jun-Yang Zhang. Vertex-transitive digraphs of order \(p^5\) are Hamiltonian. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/4034

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