Efficient indexes for jumbled pattern matching with constant-sized alphabet

T Kociumaka, J Radoszewski, W Rytter - European Symposium on …, 2013 - Springer
We introduce efficient data structures for an indexing problem in non-standard stringology—
jumbled pattern matching. Moosa and Rahman J. Discr. Alg., 2012 gave an index for …

[HTML][HTML] Computing regularities in strings: a survey

WF Smyth - European Journal of Combinatorics, 2013 - Elsevier
The aim of this survey is to provide insight into the sequential algorithms that have been
proposed to compute exact “regularities” in strings; that is, covers (or quasiperiods), seeds …

A note on efficient computation of all Abelian periods in a string

M Crochemore, CS Iliopoulos, T Kociumaka… - Information Processing …, 2013 - Elsevier
We derive a simple efficient algorithm for Abelian periods knowing all Abelian squares in a
string. An efficient algorithm for the latter problem was given by Cummings and Smyth in …

[HTML][HTML] Algorithms for jumbled indexing, jumbled border and jumbled square on run-length encoded strings

A Amir, A Apostolico, T Hirst, GM Landau… - Theoretical Computer …, 2016 - Elsevier
In this paper we investigate jumbled (Abelian) versions of three classical strings problems. In
all these problems we assume the input string S [1.. n] is given in its run-length format S′[1 …

[PDF][PDF] Fast algorithms for abelian periods in words and greatest common divisor queries

T Kociumaka, J Radoszewski… - … Symposium on Theoretical …, 2013 - drops.dagstuhl.de
We present efficient algorithms computing all Abelian periods of two types in a word.
Regular Abelian periods are computed in O (n log log {n}) randomized time which improves …

Subquadratic-time algorithms for abelian stringology problems

T Kociumaka, J Radoszewski, B Wiśniewski - International Conference on …, 2015 - Springer
We propose the first subquadratic-time algorithms to a number of natural problems in
abelian pattern matching (also called jumbled pattern matching) for strings over a constant …

Abelian periods, partial words, and an extension of a theorem of Fine and Wilf

F Blanchet-Sadri, S Simmons, A Tebbe… - RAIRO-Theoretical …, 2013 - numdam.org
Recently, Constantinescu and Ilie proved a variant of the well-known periodicity theorem of
Fine and Wilf in the case of two relatively prime abelian periods and conjectured a result for …

[HTML][HTML] Abelian borders in binary words

M Christodoulakis, M Christou, M Crochemore… - Discrete Applied …, 2014 - Elsevier
In this article we study the appearance of abelian borders in binary words, a notion closely
related to the abelian period of a word. We show how many binary words have shortest …

[HTML][HTML] Algorithms for computing Abelian periods of words

G Fici, T Lecroq, A Lefebvre, É Prieur-Gaston - Discrete Applied …, 2014 - Elsevier
Abstract Constantinescu and Ilie [S. Constantinescu, L. Ilie. Fine and Wilf's theorem for
abelian periods, Bulletin of the European Association for Theoretical Computer Science 89 …

Abelian primitive words

M Domaratzki, N Rampersad - International Journal of Foundations …, 2012 - World Scientific
We investigate Abelian primitive words, which are words that are not Abelian powers. We
show the set of Abelian primitive words is not context-free. We can determine whether a …