It has degree 2, with 13 vertices and 13 edges.
It has girth 13, diameter 6 and radius 6.
Its symmetry group has 26 elements.
It is not bipartite.
It is not Hamiltonian.
It is symmetric.
It is 12-arc-transitive.
13-cycle is the skeleton of the di-13gon
13-cycle is the skeleton of the hemi-di-26gon