An implicit data structure supporting insertion, deletion, and search in \(O(\log ^ 2\,n)\) time
We introduce a data structure that requires only one pointer for every k data values and supports searches in O(log n) time and insertions and deletions in \(O(k+\log n)\) time. By choosing k to be O(log n), pointers can be encoded into the relative order of data values and this technique can be used to support insert, delete and search in \(O(\log^ 2 n)\) time while using only the storage needed for the data.
scientific article; zbMATH DE number 4016202