Multivariate algorithmics for NP-hard string problems

L Bulteau, F Hüffner, C Komusiewicz… - … for Theoretical Computer …, 2014 - hal.science
String problems arise in various applications ranging from text mining to biological
sequence analysis. Many string problems are NP-hard. This motivates the search for (fixed …

[HTML][HTML] Anti-powers in infinite words

G Fici, A Restivo, M Silva, LQ Zamboni - Journal of Combinatorial Theory …, 2018 - Elsevier
In combinatorics of words, a concatenation of k consecutive equal blocks is called a power
of order k. In this paper we take a different point of view and define an anti-power of order k …

Pattern matching with variables: Fast algorithms and new hardness results

H Fernau, F Manea, R Mercas… - … on Theoretical Aspects …, 2015 - drops.dagstuhl.de
A pattern (ie, a string of variables and terminals) maps to a word, if this is obtained by
uniformly replacing the variables by terminal words; deciding this is NP-complete. We …

Pattern matching with variables: Efficient algorithms and complexity results

H Fernau, F Manea, R Mercaş, ML Schmid - ACM Transactions on …, 2020 - dl.acm.org
A pattern ɑ (ie, a string of variables and terminals) matches a word w, if w can be obtained
by uniformly replacing the variables of ɑ by terminal words. The respective matching …

Defining phylogenetic network distances using cherry operations

K Landry, A Teodocio, M Lafond… - IEEE/ACM …, 2022 - ieeexplore.ieee.org
In phylogenetic networks, picking a cherry consists of removing a leaf that shares a parent
with another leaf, or removing a reticulate edge whose endpoints are parents of leaves …

[HTML][HTML] Computing equality-free and repetitive string factorisations

ML Schmid - Theoretical Computer Science, 2016 - Elsevier
For a string w, a factorisation is any tuple (u 1, u 2,…, uk) of strings that satisfies w= u 1⋅ u
2⋯ u k. A factorisation is called equality-free if each two factors are different, its size is the …

Finding the Anticover of a String

M Alzamel, A Conte, S Denzumi, R Grossi… - … Matching (CPM 2020 …, 2020 - drops.dagstuhl.de
A k-anticover of a string x is a set of pairwise distinct factors of x of equal length k, such that
every symbol of x is contained into an occurrence of at least one of those factors. The …

String Factorization via Prefix Free Families

M Kraus, M Lewenstein, A Popa, E Porat… - … Annual Symposium on …, 2023 - drops.dagstuhl.de
A factorization of a string S is a partition of w into substrings u_1,…, u_k such that S= u_1
u_2⋯ u_k. Such a partition is called equality-free if no two factors are equal: u_i≠ u_j,∀ i, j …

Local Maximal Equality-Free Periodicities

M Alzamel, JW Daykin, C Hampson… - … Conference on Artificial …, 2023 - Springer
In this paper, we study local maximal antiperiodicities. Given a string X and an integer k, we
compute the maximal k-antiperiodicity starting at every position of X; that is, we identify a …

The maximum equality-free string factorization problem: Gaps vs. no gaps

RS Mincu, A Popa - International Conference on Current Trends in Theory …, 2020 - Springer
A factorization of a string w is a partition of w into substrings u_1,\dots, u_k such that w= u_1
u_2 ⋯ u_k. Such a partition is called equality-free if no two factors are equal: u_i ≠ u_j, ∀ i, j …