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Refined enumeration of vertices among all rooted ordered $d$-trees
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math.CO
keywords
orderedrootedtreesverticescardinalitiesedgesenumerateenumeration
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abstract
In this paper we enumerate the cardinalities for the set of all vertices of outdegree $\ge k$ at level $\ge \ell$ among all rooted ordered $d$-trees with $n$ edges. Our results unite and generalize several previous works in the literature.
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