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arxiv: 1805.08076 · v2 · pith:FRN4CEWKnew · submitted 2018-05-21 · 🧮 math.CO

On The Joint Normality of Certain Statistics on Ordered Trees

classification 🧮 math.CO
keywords numberchildrennumbersorderedverticesalgorithmsasymptoticallycalculating
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We develop algorithms, implemented in Maple, that study the number of vertices with a particular number of children in a random ordered tree where all vertices must have a number of children in some finite set. By calculating the mixed moments of two such numbers, the package gives strong experimental evidence numbers are pairwise asymptotically normal.

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