I need to examine whether the graphs are isomorphic. It is clear that they have the same number of vertices, edges and degree sequence of both the graphs is the same I guess. But again I'm not sure if they are isomorphic.

I need to examine whether the graphs are isomorphic. It is clear that they have the same number of vertices, edges and degree sequence of both the graphs is the same I guess. But again I'm not sure if they are isomorphic.

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It should be clear they are not. The one on the left has cycles of length $3$. The one on the right is bipartite and has no odd-length cycles.