Geodesic
Classification of vertex-transitive digraphs of order a product of two distinct primes via automorphism group
Ted Dobson1 ; Ademir Hujdurović1 ; Klavdija Kutnar1 ; Joy Morris2
1University of Primorska
2University of Lethbridge
The electronic journal of combinatorics, Tome 32 (2025) no. 2

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Zbl DOI arXiv
In the mid-1990s, two groups of authors independently obtained classifications of vertex-transitive graphs whose order is a product of two distinct primes. In the intervening years it has become clear that there is additional information concerning these graphs that would be useful, as well as making explicit the extensions of these results to digraphs. Additionally, there are several small errors in some of the papers that were involved in this classification. The purpose of this paper is to fill in the missing information as well as correct all known errors.
DOI : 10.37236/12746
Classification : 05C20, 05C25, 20B99
Mots-clés : Cayley digraphs, metacirculant graphs

Ted Dobson  1   ; Ademir Hujdurović  1   ; Klavdija Kutnar  1   ; Joy Morris  2

1 University of Primorska
2 University of Lethbridge 
Ted Dobson; Ademir  Hujdurović; Klavdija Kutnar; Joy Morris. Classification of vertex-transitive digraphs of order a product of two distinct primes via automorphism group. The electronic journal of combinatorics, Tome 32 (2025) no. 2. doi: 10.37236/12746
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     title = {Classification of vertex-transitive digraphs of order a product of two distinct primes via automorphism group},
     journal = {The electronic journal of combinatorics},
     year = {2025},
     volume = {32},
     number = {2},
     doi = {10.37236/12746},
     zbl = {1565.05049},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/12746/}
}
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