1)Both graphs have equal no of vertices(10).
2)Both graphs have equal no of edges(15).
3)Both graphs have same degree sequence. 3,3,3,3,3,3,3,3,3,3
4)Each vertex in both graphs is connected to other 3 vertices of degree three
so there neighboring vertices degree is also same in both graphs(this cover the concepts of same pairs of cycles).
Hence both graph are isomorphic.