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arXiv · 1601.06939

Simple and Efficient Fully-Functional Succinct Trees

Joshimar Cordova·Gonzalo Navarro
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Abstract

The fully-functional succinct tree representation of Navarro and Sadakane (ACM Transactions on Algorithms, 2014) supports a large number of operations in constant time using $2n+o(n)$ bits. However, the full idea is hard to implement. Only a simplified version with $O(\log n)$ operation time has been implemented and shown to be practical and competitive. We describe a new variant of the original idea that is much simpler to implement and has worst-case time $O(\log\log n)$ for the operations. An implementation based on this version is experimentally shown to be superior to existing implementations.

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Joshimar Cordova, Gonzalo Navarro. 2016-03-23. Simple and Efficient Fully-Functional Succinct Trees. https://arxiv.org/abs/1601.06939

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