Partial cubes are graphs isometrically embeddable into hypercubes. In this paper it is proved that every cubic, vertex-transitive partial cube is isomorphic to one of the following graphs: $K_2\, \square \, C_{2n}$, for some $n\geq 2$, generalized Petersen graph $G(10,3)$, permutahedron, truncated cuboctahedron, or truncated icosidodecahedron. This complete classification of cubic, vertex-transitive partial cubes, a family that includes all cubic, distance-regular partial cubes (Weichsel, 1992), is a generalization of results of Bre\v{s}ar et. al. from 2004 on cubic mirror graphs, and a contribution to the classification of all cubic partial cubes.
['Tilen Marc']
Classification of vertex-transitive cubic partial cubes