ASYMPTOTIC COST OF CUTTING DOWN RANDOM FREE TREES

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ZOHOORIAN AZAD ELAHE

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Paper Information

Journal: JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS) Year:2012 | Volume:11 | Issue:1 Page(s): 57-73

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Information Journal Paper

Title

ASYMPTOTIC COST OF CUTTING DOWN RANDOM FREE TREES

Author(s)

ZOHOORIAN AZAD ELAHE | Issue Writer Certificate

Keywords

ADDITIVE FUNCTIONALS ON TREESQ4

CAYLEY TREESQ4

HADAMARD PRODUCT OF GENERATING FUNCTIONSQ4

LIMIT LAWQ4

METHOD OF MOMENTSQ4

RECURRENCEQ4

Abstract

In this work, we calculate the limit distribution of the total cost incurred by splitting a tree selected at random from the set of all finite free trees. This total cost is considered to be 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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APA: Copy

ZOHOORIAN AZAD, ELAHE. (2012). ASYMPTOTIC COST OF CUTTING DOWN RANDOM FREE TREES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), 11(1), 57-73. SID. https://sid.ir/paper/117857/en

Vancouver: Copy

ZOHOORIAN AZAD ELAHE. ASYMPTOTIC COST OF CUTTING DOWN RANDOM FREE TREES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)[Internet]. 2012;11(1):57-73. Available from: https://sid.ir/paper/117857/en

IEEE: Copy

ELAHE ZOHOORIAN AZAD, “ASYMPTOTIC COST OF CUTTING DOWN RANDOM FREE TREES,” JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), vol. 11, no. 1, pp. 57–73, 2012, [Online]. Available: https://sid.ir/paper/117857/en

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