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» Limit distribution of degrees in random family trees
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TCS
2010
13 years 5 months ago
A combinatorial approach to the analysis of bucket recursive trees
In this work we provide a combinatorial analysis of bucket recursive trees, which have been introduced previously as a natural generalization of the growth model of recursive trees...
Markus Kuba, Alois Panholzer
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 7 months ago
The Degree Distribution of Random k-Trees
A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model...
Yong Gao
ALGORITHMICA
2006
90views more  ALGORITHMICA 2006»
13 years 7 months ago
Destruction of Very Simple Trees
We consider the total cost of cutting down a random rooted tree chosen from a family of so-called very simple trees (which include ordered trees, d-ary trees, and Cayley trees); th...
James Allen Fill, Nevin Kapur, Alois Panholzer
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
13 years 7 months ago
Limit Laws for Sums of Functions of Subtrees of Random Binary Search Trees
We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
Luc Devroye
RSA
2006
98views more  RSA 2006»
13 years 7 months ago
Levels of a scale-free tree
Consider the random graph model of Barab
Zsolt Katona