Succinct data structure for dynamic trees with faster queries

Dekel Tsur

doi:10.1016/j.tcs.2019.02.005

Succinct data structure for dynamic trees with faster queries

Dekel Tsur

Department of Computer Science

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

Navarro and Sadakane [19] 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).

Original language	American English
Pages (from-to)	12-19
Number of pages	8
Journal	Theoretical Computer Science
Volume	780
DOIs	https://doi.org/10.1016/j.tcs.2019.02.005
State	Published - 9 Aug 2019

Keywords

Ordinal trees
Succinct data structures

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science

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10.1016/j.tcs.2019.02.005

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title = "Succinct data structure for dynamic trees with faster queries",

abstract = "Navarro and Sadakane [19] 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).",

keywords = "Ordinal trees, Succinct data structures",

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year = "2019",

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AB - Navarro and Sadakane [19] 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).

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KW - Succinct data structures

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U2 - 10.1016/j.tcs.2019.02.005

DO - 10.1016/j.tcs.2019.02.005

M3 - Article

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SP - 12

EP - 19

JO - Theoretical Computer Science

JF - Theoretical Computer Science

ER -

Succinct data structure for dynamic trees with faster queries

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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