Asymptotic cost of cutting down random free trees
classification
🧮 math.PR
keywords
asymptoticscostfreetreetreesadditiveappearsasymptotic
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The limit distribution of the total cost incurred by splitting a tree uniformly distributed on the set of all finite free trees, appears as an additive functional induced by a toll equal to the square of the size of tree. The main tools used are the recent results connecting the asymptotics of generating functions with the asymptotics of their Hadamard product, and the method of moments.
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