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Nested intervals tree encoding in SQL

Published: 01 June 2005 Publication History

Abstract

Nested Intervals generalize Nested Sets. They are immune to hierarchy reorganization problem. They allow answering ancestor path hierarchical queries algorithmically - without accessing the stored hierarchy relation.

References

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D. Aioanei, A. Malinaru. General trees persisted in relational databases. http://www.codeproject.com/cs/database/persisting trees.asp?print=true
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J. Celko. Joe Celko's Trees and Hierarchies in SQL for Smarties. Morgan Kaufmann.
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J. Conway. On Numbers and Games. New York: Academic Press, Inc.
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J. Roy. 2003. Using the Node Data Type to Solve Problems with Hierarchies in DB2 Universal Database http://www106.ibm.com/developerworks/db2/library/techarticle/0302roy/0302roy.html
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V. Tropashko. Trees in SQL: Nested Sets and Materialized Path. http://www.dbazine.com/tropashko4.shtml
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V. Tropashko. Nested Intervals with Farey Fractions. http://arxiv.org/html/cs.DB/0401014
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V. Tropashko. Nested Intervals Tree Encoding with Continued Fractions. http://arxiv.org/pdf/cs.DB/0402051
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L. Vepstas. The Minkowski Question Mark and the Modular Group SL(2,Z). http://www.linas.org/math/chapminkowski/chap-minkowski.html

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  • (2018)Optimizing Phylogenetic Queries for PerformanceIEEE/ACM Transactions on Computational Biology and Bioinformatics10.1109/TCBB.2017.274370615:5(1692-1705)Online publication date: 1-Sep-2018
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Published In

cover image ACM SIGMOD Record
ACM SIGMOD Record  Volume 34, Issue 2
June 2005
91 pages
ISSN:0163-5808
DOI:10.1145/1083784
Issue’s Table of Contents

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 June 2005
Published in SIGMOD Volume 34, Issue 2

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  • (2023)Binary Coding of Hierarchical StructuresВестник КРАУНЦ. Физико-математические науки10.26117/2079-6641-2023-43-2-44-54(44-54)Online publication date: 8-Jul-2023
  • (2019)Overlay Indexes: Efficiently Supporting Aggregate Range Queries and Authenticated Data Structures in Off-the-Shelf DatabasesIEEE Access10.1109/ACCESS.2019.29573467(175642-175670)Online publication date: 2019
  • (2018)Optimizing Phylogenetic Queries for PerformanceIEEE/ACM Transactions on Computational Biology and Bioinformatics10.1109/TCBB.2017.274370615:5(1692-1705)Online publication date: 1-Sep-2018
  • (2017)Improve CRUD performance on hierarchical data: Nested interval model vs. nested set model2017 12th International Conference for Internet Technology and Secured Transactions (ICITST)10.23919/ICITST.2017.8356423(370-371)Online publication date: Dec-2017
  • (2017)A Visual Interface for Querying Heterogeneous Phylogenetic DatabasesIEEE/ACM Transactions on Computational Biology and Bioinformatics10.1109/TCBB.2016.252094314:1(131-144)Online publication date: 1-Jan-2017
  • (2016)Pruning Forests to Find the TreesProceedings of the 28th International Conference on Scientific and Statistical Database Management10.1145/2949689.2949697(1-12)Online publication date: 18-Jul-2016
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