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Succinct data structure for dynamic trees with faster queries (1805.11255v1)
Published 29 May 2018 in cs.DS
Abstract: Navarro and Sadakane [TALG 2014] gave a dynamic succinct data structure for storing an ordinal tree. The structure supports tree queries in either $O(\log n/\log\log n)$ or $O(\log n)$ time, and insertion or deletion of a single node in $O(\log n)$ time. In this paper we improve the result of Navarro and Sadakane by reducing the time complexities of some queries (e.g.\ degree and level_ancestor) from $O(\log n)$ to $O(\log n/\log\log n)$.