Journal of Algebraic Combinatorics: An International Journal
Strongly Regular Semi-Cayley Graphs
Journal of Algebraic Combinatorics: An International Journal
Which generalized Petersen graphs are Cayley graphs?
Journal of Graph Theory
The MAGMA algebra system I: the user language
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Automorphism groups and isomorphisms of Cayley digraphs
Discrete Mathematics - Special issue on Graph theory
Biprimitive Graphs of Smallest Order
Journal of Algebraic Combinatorics: An International Journal
Permutation Groups with a Cyclic Regular Subgroup and Arc Transitive Circulants
Journal of Algebraic Combinatorics: An International Journal
Graph Theory With Applications
Graph Theory With Applications
On strongly regular bicirculants
European Journal of Combinatorics
An infinite family of biprimitive semisymmetric graphs
Journal of Graph Theory
A complete classification of cubic symmetric graphs of girth 6
Journal of Combinatorial Theory Series B
One-matching bi-Cayley graphs over abelian groups
European Journal of Combinatorics
Journal of Combinatorial Theory Series B
Edge connectivity in difference graphs and some new constructions of partial sum families
European Journal of Combinatorics
Partial sum quadruples and bi-Abelian digraphs
Journal of Combinatorial Theory Series A
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A bi-Cayley graph is a graph which admits a semiregular group of automorphisms with two orbits of equal size. In this paper, some basic properties and the automorphisms of bi-Cayley graphs are explored. As an application, a classification of connected cubic vertex-transitive bi-Cayley graphs over abelian groups is given, and using this, a problem posed in Zhou and Feng (2012) regarding the Cayley property of a class of graphs is solved.