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math.CO2025
Cubic vertex-transitive graphs of girth seven
Maruša Lekše, Micael Toledo
In this paper we classify cubic vertex-transitive graphs of girth , based on their signature. Such a graph is either a truncation of an arc-transitive dihedral scheme on a -r…
math.CO2025
Orbits of consistent walk in dart-transitive maps
Micael Toledo, Alejandra Ramos, Primoz Potocnik +1
In a simple graph, a shunt is a symmetry which sends an edge to an incident edge (without fixing their shared vertex). The orbit of this edge under the shunt forms a consistent cyc…