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math.CO2018
Open and closed factors of Arnoux-Rauzy words
Olga Parshina, Luca Zamboni
A finite word is called closed if its longest repeated prefix has exactly two occurrences in once as a prefix and once as a suffix. We study the function $f_x^c:\mathbb N…
math.CO2018
Combining extensions of the Hales-Jewett\\ Theorem with Ramsey Theory\\ in other structures
Neil Hindman, Dona Strauss, Luca Q. Zamboni
The Hales-Jewett Theorem states that given any finite nonempty set $\A$ and any finite coloring of the free semigroup over the alphabet $\A$ there is a {\it variable word\/} ov…