16 citations · 77 across the 45 of their papers we have counts for
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math.CO2018
Distinguishing numbers of finite -valent vertex-transitive graphs
Florian Lehner, Gabriel Verret
The distinguishing number of a graph is the smallest such that admits a -colouring for which the only colour-preserving automorphism of is the identity. We deter…
math.CO2018
Edge-transitive graphs of small order and the answer to a 1967 question by Folkman
Marston Conder, Gabriel Verret
In this paper, we introduce a method for finding all edge-transitive graphs of small order, using faithful representations of transitive permutation groups of small degree, and we…
math.CO2018
Three local actions in -valent arc-transitive graphs
Ademir Hujdurović, Primož Potočnik, Gabriel Verret
It is known that there are precisely three transitive permutation groups of degree that admit an invariant partition with three parts of size such that the kernel of the ac…