Volume 11, Number 1 (March 2012)                   JIRSS 2012, 11(1): 57-73 | Back to browse issues page

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Zohoorian Azad E. Asymptotic Cost of Cutting Down Random Free Trees. JIRSS. 2012; 11 (1) :57-73
URL: http://jirss.irstat.ir/article-1-175-en.html

Abstract:   (6429 Views)
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.
Full-Text [PDF 526 kb]   (1510 Downloads)    
Subject: 60: Probability theory and stochastic processes
Received: 2012/03/3 | Accepted: 2015/09/12

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