Finite connected vertex-transitive cubic graphs with more than 90 vertices have base size at most 2 unless they are split Praeger-Xu graphs.
A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2)
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The base size of vertex-transitive cubic graphs
Finite connected vertex-transitive cubic graphs with more than 90 vertices have base size at most 2 unless they are split Praeger-Xu graphs.