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On constructing 2-3 trees

Part of: JFP Functional Pearls

Published online by Cambridge University Press:  26 October 2018

RALF HINZE Open the ORCID record for RALF HINZE [Opens in a new window]
RALF HINZE*
Affiliation:
Fachbereich Informatik, Technische Universität Kaiserslautern67653 Kaiserslautern, Germany (e-mail: ralf-hinze@cs.uni-kl.de)
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Abstract

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We consider the task of constructing 2-3 trees. Given a sequence of elements we seek to build a 2-3 tree–in linear time–that contains the elements in symmetric order. We discuss three approaches: top-down, bottom-up, and incremental. The incremental approach is more flexible than the other two in that it allows us to interleave the construction work with other operations, for example, queries.

Type
Functional Pearl
Information
Journal of Functional Programming , Volume 28 , 2018 , e19
Copyright
© Cambridge University Press 2018 

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