16 citations · 77 across the 45 of their papers we have counts for
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math.AC2019
The automorphism group of the zero-divisor digraph of matrices over an antiring
David Dolžan, Gabriel Verret
We determine the automorphism group of the zero-divisor digraph of the semiring of matrices over an antinegative commutative semiring with a finite number of zero-divisors.
math.CO2019
Skew product groups for monolithic groups
Martin Bachratý, Marston Conder, Gabriel Verret
Skew morphisms, which generalise automorphisms for groups, provide a fundamental tool for the study of regular Cayley maps and, more generally, for finite groups with a complementa…
math.CO2019
Arc-transitive graphs of valency twice a prime admit a semiregular automorphism
Michael Giudici, Gabriel Verret
We prove that every finite arc-transitive graph of valency twice a prime admits a nontrivial semiregular automorphism, that is, a non-identity automorphism whose cycles all have th…