[图书][B] Formal languages, automata and numeration systems 1: Introduction to combinatorics on words

M Rigo - 2014 - books.google.com
Formal Languages, Automaton and Numeration Systems presents readers with a review of
research related to formal language theory, combinatorics on words or numeration systems …

[图书][B] Formal Languages, Automata and Numeration Systems 2: Applications to Recognizability and Decidability

M Rigo - 2014 - books.google.com
The interplay between words, computability, algebra and arithmetic has now proved its
relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite …

[图书][B] Combinatorics, words and symbolic dynamics

V Berthé, M Rigo - 2016 - books.google.com
Internationally recognised researchers look at developing trends in combinatorics with
applications in the study of words and in symbolic dynamics. They explain the important …

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 …

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 …

A powerful abelian square-free substitution over 4 letters

V Keränen - Theoretical Computer Science, 2009 - Elsevier
In 1961, Paul Erdös posed the question whether abelian squares can be avoided in
arbitrarily long words over a finite alphabet. An abelian square is a non-empty word uv …

[HTML][HTML] Templates for the k-binomial complexity of the Tribonacci word

M Lejeune, M Rigo, M Rosenfeld - Advances in Applied Mathematics, 2020 - Elsevier
Consider k-binomial equivalence: two finite words are equivalent if they share the same
subwords of length at most k with the same multiplicities. With this relation, the k-binomial …

[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 …

Fixed points avoiding Abelian k-powers

JD Currie, N Rampersad - Journal of Combinatorial Theory, Series A, 2012 - Elsevier
We show that the problem of whether the fixed point of a morphism avoids Abelian k-powers
is decidable under rather general conditions, the most important being that the frequency …

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 …