Dynamic perfect hash tables and cuckoo hash tables are two different data struct

Question

Dynamic perfect hash tables and cuckoo hash tables are two different data structures that support worst-case O(1) lookups and expected O(1)-time insertions and deletions. Both require O(n) auxiliary space and access to families of hash functions for their operations.

I think that both of these data structures are beautiful and brilliant in their own right, but I'm not sure I see how and when one of these would be preferable over the other.

Are there specific contexts in which one of these data structures has a clear advantage over the other? Or are they mostly interchangeable?

Explanation / Answer

Dynamic perfect hashing in the sense of Dietzfelbinger et al. only needs 2-independent hashing. While there are some results on simple hashing for cuckoo hash tables, such as twisted tabulation hashing and "Explicit and Efficient Hash Families Suffice for Cuckoo Hashing with a Stash", the original dynamic perfect hashing is more robust in some sense.

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