String reconstruction from substring compositions

J Acharya, H Das, O Milenkovic, A Orlitsky… - SIAM Journal on Discrete …, 2015 - SIAM
Motivated by mass-spectrometry protein sequencing, we consider the problem of
reconstructing a string from the multisets of its substring composition. We show that all …

[HTML][HTML] On prefix normal words and prefix normal forms

P Burcsi, G Fici, Z Lipták, F Ruskey… - Theoretical Computer …, 2017 - Elsevier
A 1-prefix normal word is a binary word with the property that no factor has more 1s than the
prefix of the same length; a 0-prefix normal word is defined analogously. These words arise …

Binary jumbled string matching for highly run-length compressible texts

G Badkobeh, G Fici, S Kroon, Z Lipták - Information Processing Letters, 2013 - Elsevier
The Binary Jumbled String Matching Problem is defined as follows: Given a string s over {a,
b} of length n and a query (x, y), with x, y non-negative integers, decide whether s has a …

On combinatorial generation of prefix normal words

P Burcsi, G Fici, Z Lipták, F Ruskey… - … Pattern Matching: 25th …, 2014 - Springer
A prefix normal word is a binary word with the property that no substring has more 1s than
the prefix of the same length. This class of words is important in the context of binary jumbled …

[HTML][HTML] Leaf realization problem, caterpillar graphs and prefix normal words

AB Massé, J De Carufel, A Goupil, M Lapointe… - Theoretical Computer …, 2018 - Elsevier
Given a simple graph G with n vertices and a natural number i≤ n, let LG (i) be the
maximum number of leaves that can be realized by an induced subtree T of G with i vertices …

The asymptotic number of prefix normal words

P Balister, S Gerke - Theoretical Computer Science, 2019 - Elsevier
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[HTML][HTML] Abelian antipowers in infinite words

G Fici, M Postic, M Silva - Advances in Applied Mathematics, 2019 - Elsevier
An abelian antipower of order k (or simply an abelian k-antipower) is a concatenation of k
consecutive words of the same length having pairwise distinct Parikh vectors. This definition …

On collapsing prefix normal words

P Fleischmann, M Kulczynski, D Nowotka… - … on Language and …, 2020 - Springer
Prefix normal words are binary words in which each prefix has at least the same number of 1
s as any factor of the same length. Firstly introduced in 2011, the problem of determining the …

[HTML][HTML] Bubble-flip—a new generation algorithm for prefix normal words

F Cicalese, Z Lipták, M Rossi - Theoretical Computer Science, 2018 - Elsevier
We present a new recursive generation algorithm for prefix normal words. These are binary
words with the property that no factor has more 1s than the prefix of the same length. The …

On infinite prefix normal words

F Cicalese, Z Lipták, M Rossi - SOFSEM 2019: Theory and Practice of …, 2019 - Springer
Prefix normal words are binary words that have no factor with more 1s than the prefix of the
same length. Finite prefix normal words were introduced in [Fici and Lipták, DLT 2011]. In …