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math.CO2024
Chiral extensions of regular toroids
Antonio Montero, Micael Toledo
Abstract polytopes are combinatorial objects that generalise geometric objects such as convex polytopes, maps on surfaces and tilings of the space. Chiral polytopes are those abstr…
math.CO2024
Vertex-transitive graphs with small motion and transitive permutation groups with small minimal degree
Antonio Montero, Primož Potočnik
The motion of a graph is the minimum number of vertices that are moved by a non-trivial automorphism. Equivalently, it can be defined as the minimal degree of its automorphism grou…