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- Travis Gagie, Juha KÃ¤rkkÃ¤inen, Gonzalo Navarro, Simon J. Puglisi
- Theor. Comput. Sci.
- 2010

Colored range queries are a well-studied topic in computational geometry and database research that, in the past decade, have found exciting applications in information retrieval. In this paper weâ€¦ (More)

- Travis Gagie, Gonzalo Navarro, Simon J. Puglisi
- Theor. Comput. Sci.
- 2012

Wavelet trees are widely used in the representation of sequences, permutations, text collections, binary relations, discrete points, and other succinct data structures. We show, however, that thisâ€¦ (More)

- Travis Gagie, Simon J. Puglisi, Andrew Turpin
- SPIRE
- 2009

We show how to use a balanced wavelet tree as a data structure that stores a list of numbers and supports efficient range quantile queries. A range quantile query takes a rank and the endpoints of aâ€¦ (More)

- Paolo Ferragina, Travis Gagie, Giovanni Manzini
- Algorithmica
- 2010

In this paper we describe algorithms for computing the Burrows-Wheeler Transform (bwt) and for building (compressed) indexes in external memory. The innovative feature of our algorithms is that theyâ€¦ (More)

- JÃ©rÃ©my Barbay, Travis Gagie, Gonzalo Navarro, Yakov Nekrich
- ISAAC
- 2010

We present a data structure that stores a string s[1..n] over the alphabet [1..Ïƒ] in nH0(s) + o(n)(H0(s)+1) bits, where H0(s) is the zero-order entropy of s. This data structure supports the queriesâ€¦ (More)

- Travis Gagie, Meng He, J. Ian Munro, Patrick K. Nicholson
- SPIRE
- 2011

We show how to store a compressed two-dimensional array such that, if we are asked for the elements with high relative frequency in a range, we can quickly return a short list of candidates thatâ€¦ (More)

- Hector Ferrada, Travis Gagie, Tommi Hirvola, Simon J. Puglisi
- Philosophical transactions. Series Aâ€¦
- 2014

Advances in DNA sequencing mean that databases of thousands of human genomes will soon be commonplace. In this paper, we introduce a simple technique for reducing the size of conventional indexes onâ€¦ (More)

- Travis Gagie, Gonzalo Navarro, Nicola Prezza
- SODA
- 2018

Indexing highly repetitive texts â€” such as genomic databases, software repositories and versioned text collections â€” has become an important problem since the turn of the millennium. A relevantâ€¦ (More)

In highly repetitive strings, like collections of genomes from the same species, distinct measures of repetition all grow sublinearly in the length of the text, and indexes targeted to such stringsâ€¦ (More)

- Travis Gagie
- Inf. Process. Lett.
- 2006

We briefly survey some concepts related to empirical entropy â€” normal numbers, de Bruijn sequences and Markov processes â€” and investigate how well it approximates Kolmogorov complexity. Our resultsâ€¦ (More)