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math.CO2026
Binary Words Containing Few Abelian Squares
Szilard Zsolt Fazekas, Adam Mammoliti, Robert Mercas +1
Fici and Saarela ([2]) conjectured that a binary word of length n contains at least abelian squares. We slightly extend this conjecture and show that it holds…
math.CO2024
Ternary is Still Good for Parikh Matrices
Robert MercaÅ, Wen Chean Teh
The focus of this work is the study of Parikh matrices with emphasis on two concrete problems. In the first part of our presentation we show that a conjecture by Dick at al. in 202…