Vestnik КRAUNC. Fiz.-Mat. nauki. 2023. vol. 43. no. 2. P. 44-54. ISSN 2079-6641

Research Article
Full text in Russian
MSC 68T99

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Binary Coding of Hierarchical Structures

V. S. Kirillov^\ast

Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences 360010, Nalchik, 2 Balkarov street, Russia

Abstract. This article presents an algorithm that provides enhanced capabilities for representing keys in hierarchical structures. By using a binary representation of the materialized path, it allows efficient sorting of nodes through bitwise comparison and rapid computation of upper and lower bounds for all keys within the subtree. This methodology finds widespread application in database design and information filtering tasks. The study compares this algorithm with various approaches used in well-known database servers. The research findings confirm the effectiveness of the proposed method and its advantages over alternative approaches. It enables faster execution of sorting operations and computation of key bounds, which are critical for the efficient functioning of databases and processing large volumes of information. Therefore, the presented algorithm holds significant practical relevance and can serve as a valuable tool in the development and optimization of databases, as well as in other tasks related to information processing and filtering.

Key words: trees data, hierarchies, relational database & models

Received: 03.04.2023; Revised: 12.04.2023; Accepted: 16.04.2023; First online: 30.06.2023

For citation. Kirillov V.S. Binary coding of hierarchical structures. Vestnik KRAUNC. Fiz.-mat. nauki. 2023, 43: 2, 44-54. EDN: XUMKPG.

Funding. The work was carried out without the support of funds.

Competing interests. There are no conflicts of interest regarding authorship and publication.

Contribution and Responsibility. The author participated in the writing of the article and is fully responsible for submitting the final version of the article to the press.

^\astCorrespondence: E-mail:

The content is published under the terms of the Creative Commons Attribution 4.0 International License

© Kirillov V.S., 2023

© Institute of Cosmophysical Research and Radio Wave Propagation, 2023 (original layout, design, compilation)


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Information about author

Kirillov Vladimir Svjatoslavovich – Ph. D. (Phys. & Math.), Researcher, Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, Russia, ORCID 0009-0007-3996-1844.