Compressed Persistent Index for Efficient Rank/Select Queries

  • Wing-Kai Hon
  • Lap-Kei Lee
  • Kunihiko Sadakane
  • Konstantinos Tsakalidis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8037)


We design compressed persistent indices that store a bit vector of size n and support a sequence of k bit-flip update operations, such that rank and select queries at any version can be supported efficiently. In particular, we present partially and fully persistent compressed indices for offline and online updates that support all operations in time polylogarithmic in n and k. This improves upon the space or time complexities of straightforward approaches, when \(k=O(\frac{n}{\log n})\), which is common in biological applications. We also prove that any partially persistent index that occupies O((n + k)log(nk)) bits requires ω(1) time to support the rank query at a given version.


Leaf Node Internal Node Query Time Version Number Query Algorithm 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Wing-Kai Hon
    • 1
  • Lap-Kei Lee
    • 2
  • Kunihiko Sadakane
    • 3
  • Konstantinos Tsakalidis
    • 4
  1. 1.Department of Computer ScienceNational Tsing Hua UniversityTaiwan
  2. 2.HKU-BGI Bioinformatics Algorithms & Core Technology Research LaboratoryUniversity of Hong KongHong Kong
  3. 3.National Institute of InformaticsTokyoJapan
  4. 4.Department of Computer Science & EngineeringHKUSTHong Kong

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