
arXiv: 1805.11255
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 $O(\log n/\log\log n)$.
FOS: Computer and information sciences, Data structures, Analysis of algorithms and problem complexity, succinct data structures, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), ordinal trees, time complexity
FOS: Computer and information sciences, Data structures, Analysis of algorithms and problem complexity, succinct data structures, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), ordinal trees, time complexity
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