Geodesic
A classification of connected cubic vertex-transitive bi-Cayley graphs over semidihedral group
Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article no. 04, 13 p.

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A graph is said to be a bi-Cayley graph over a group H if there exists a subgroup of Aut(G) isomorphic to H acting semiregularly on its vertex set with two orbits. In this paper, we give a complete classification of connected cubic vertex-transitive bi-Cayley graphs over semidihedral group. As a byproduct, we construct a family of vertex-transitive non-Cayley graphs.
DOI : 10.26493/1855-3974.2905.c94
Keywords: Semidihedral group, bi-Cayley graph, vertex-transitive 
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Jianji Cao; Young Soo Kwon; Mimi Zhang. A classification of connected cubic vertex-transitive bi-Cayley graphs over semidihedral group. Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article  no. 04, 13 p. doi : 10.26493/1855-3974.2905.c94. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2905.c94/

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