It has degree 2, with 10 vertices and 10 edges.
It has girth 10, diameter 5 and radius 5.
Its symmetry group has 20 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 9-arc-transitive.
10-cycle can be regarded as 5-cycle × K2
10-cycle is the skeleton of the di-decagon
10-cycle is the skeleton of the hemi-di-20gon
10-cycle is the skeleton of S4:{10,4} with muliplicity 2
10-cycle is the skeleton of S5:{20,4} with muliplicity 2