0000000000261059

AUTHOR

Silvia Bonomo

showing 2 related works from this author

Suffixes, Conjugates and Lyndon Words

2013

In this paper we are interested in the study of the combinatorial aspects connecting three important constructions in the field of string algorithms: the suffix array, the Burrows-Wheeler transform (BWT) and the extended Burrows-Wheeler transform (EBWT). Such constructions involve the notions of suffixes and conjugates of words and are based on two different order relations, denoted by $\plex$ and $\pom$, that, even if strictly connected, are quite different from the computational point of view. In this study an important role is played by Lyndon words. In particular, we improve the upper bound on the number of symbol comparisons needed to establish the $\pom$ order between two primitive wo…

MultisetReduction (recursion theory)BWT; Lyndon factorization; Suffix ArrayString (computer science)Suffix arrayLyndon words Lyndon factorization BWT Suffix array EBWT Circular words ConjugacyLexicographical orderlaw.inventionSuffix ArrayCombinatoricsBWTLyndon factorizationlawOrder (group theory)Symbol (formal)Word (group theory)Mathematics
researchProduct

SORTING CONJUGATES AND SUFFIXES OF WORDS IN A MULTISET

2014

In this paper we are interested in the study of the combinatorial aspects related to the extension of the Burrows-Wheeler transform to a multiset of words. Such study involves the notion of suffixes and conjugates of words and is based on two different order relations, denoted by <lex and ≺ω, that, even if strictly connected, are quite different from the computational point of view. In particular, we introduce a method that only uses the <lex sorting among suffixes of a multiset of words in order to sort their conjugates according to ≺ω-order. In this study an important role is played by Lyndon words. This strategy could be used in applications specially in the field of Bioinformatic…

Lyndon words; Burrows-Wheeler transform; Extended Burrows-Wheeler transform; Circular words; Conjugates; Suffixes; SortingSuffixesMultisetTheoretical computer sciencePoint (typography)Burrows–Wheeler transformSettore INF/01 - InformaticaSortingcircular wordExtension (predicate logic)Lyndon wordsBurrows-Wheeler transformLyndon wordField (computer science)ConjugatesconjugateComputer Science (miscellaneous)sortOrder (group theory)suffixeArithmeticextended Burrows-Wheeler transformCircular wordssortingMathematics
researchProduct