Is these Trees isomorphic or not?
They have same structure but they have different code. Because one of them is minimum code.
Thank you for your answers in advance.
2026-03-30 08:55:14.1774860914
Is these Trees isomorphic or not?
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If I interpret the lemma and the definitions correctly, it seems that there are two definitions at work here:
While the code of an ordered rooted tree respects the ordering, the minimum code may not (changing the ordering of the branches will give the same minimum code).
Therefore, we are led to the conclusion that the minimum code is not a code. This nomenclature is confusing, and this should've been emphasized in the document somewhere. Or, what would've been better, different terms ought to have been used.
Bottom line: The code of a tree exclusively refers to the bottom-up, left-to-right encoding displayed in the left picture. With this more restrictive definition of code, it is not too hard to see that the lemma does indeed hold.