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Part of the book series: Compact Textbooks in Mathematics ((CTM))

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Abstract

The German mathematician Walther Franz Anton von Dyck (1856–1934) studied words in \( {\mathcal{W}}_{a,b} \) for \( a=b \) with the property that the -count is at all times greater than or equal to the -count, that is, for which

$$ {\Delta}_{A,B}\left({\left[w\right]}_k\right)\ge 0 $$

for all k. Those words have since become known as Dyck words.

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Roman, S. (2015). Dyck Words. In: An Introduction to Catalan Numbers. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-22144-1_2

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