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Navarro and Sadakane [TALG 2014] gave a dynamic succinct data structure forstoring an ordinal tree. The structure supports tree queries in either $O(\logn/\log\log n)$ or $O(\log n)$ time, and insertion or deletion of a single nodein $O(\log n)$ time. In this paper we improve the result of Navarro andSadakane by reducing the time complexities of some queries (e.g.\ degree andlevel\_ancestor) from $O(\log n)$ to $O(\log n/\log\log n)$.

Succinct data structure for dynamic trees with faster queries