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math.CO2018
Classification of cubic vertex-transitive tricirculants
Primož Potočnik, Micael Toledo
A finite graph is called a tricirculant if admits a cyclic group of automorphism which has precisely three orbits on the vertex-set of the graph, all of equal size. We classify all…
math.CO2018
An existence result on two-orbit maniplexes
Daniel Pellicer, Primož Potočnik, Micael Toledo
A maniplex of rank n is a connected, n-valent, edge-coloured graph that generalises abstract polytopes and maps. If the automorphism group of a maniplex M partitions the vertex-set…