English

Simple and Efficient Fully-Functional Succinct Trees

Data Structures and Algorithms 2016-03-24 v2

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)2n+o(n) bits. However, the full idea is hard to implement. Only a simplified version with O(logn)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(loglogn)O(\log\log n) for the operations. An implementation based on this version is experimentally shown to be superior to existing implementations.

Keywords

Cite

@article{arxiv.1601.06939,
  title  = {Simple and Efficient Fully-Functional Succinct Trees},
  author = {Joshimar Cordova and Gonzalo Navarro},
  journal= {arXiv preprint arXiv:1601.06939},
  year   = {2016}
}