English

Refining the $r$-index

Data Structures and Algorithms 2019-07-05 v6

Abstract

Gagie, Navarro and Prezza's rr-index (SODA, 2018) promises to speed up DNA alignment and variation calling by allowing us to index entire genomic databases, provided certain obstacles can be overcome. In this paper we first strengthen and simplify Policriti and Prezza's Toehold Lemma (DCC '16; Algorithmica, 2017), which inspired the rr-index and plays an important role in its implementation. We then show how to update the rr-index efficiently after adding a new genome to the database, which is likely to be vital in practice. As a by-product of this result, we obtain an online version of Policriti and Prezza's algorithm for constructing the LZ77 parse from a run-length compressed Burrows-Wheeler Transform. Our experiments demonstrate the practicality of all three of these results. Finally, we show how to augment the rr-index such that, given a new genome and fast random access to the database, we can quickly compute the matching statistics and maximal exact matches of the new genome with respect to the database.

Cite

@article{arxiv.1802.05906,
  title  = {Refining the $r$-index},
  author = {Hideo Bannai and Travis Gagie and Tomohiro I},
  journal= {arXiv preprint arXiv:1802.05906},
  year   = {2019}
}

Comments

An extended version of the paper presented at CPM 2018 under the title "Online LZ77 parsing and matching statistics with RLBWTs"

R2 v1 2026-06-23T00:24:27.776Z