if there are two graph $G$ and $H$ that have same number of vertices, and their degree sequences are the same. Does this mean that they are isomorphic ?
2026-03-28 08:08:08.1774685288
Graphs with same degree sequence and same number of vertices isomorphic?
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Look up "graph isomorphism problem". You will find that it is a known hard problem. By contrast, computing the degree sequence is easy. So, by resorting to authority, the answer is "no". More specific reasons are in the comments.