https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 On automorphism groups of graph truncations https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:28295 t on t vertices. We determine necessary and sufficient conditions for T(Γ) to be hamiltonian, show Aut(T(Γ)) ≅ Aut(Γ), as well as show that if Γ is vertex-transitive, then T(Γ ) is vertex-transitive if and only if Γ is arc-transitive. Finally, in the case where t is prime we determine necessary and sufficient conditions for T(Γ) to be isomorphic to a Cayley graph as well as an additional necessary and sufficient condition for T(Γ) to be vertex-transitive.]]> Wed 11 Apr 2018 16:03:05 AEST ]]> Decomposition theorems for automorphism groups of trees https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:38289 Thu 26 Aug 2021 15:33:37 AEST ]]> Geometric characterization of flat groups of automorphisms https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11018 Sat 24 Mar 2018 10:32:27 AEDT ]]>