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CORR
2012
Springer
222views Education» more  CORR 2012»
12 years 3 months ago
A limit process for partial match queries in random quadtrees
We consider the problem of recovering items matching a partially specified pattern in multidimensional trees (quad trees and k-d trees). We assume the classical model where the d...
Nicolas Broutin, Ralph Neininger, Henning Sulzbach
RSA
2006
63views more  RSA 2006»
13 years 7 months ago
Random cutting and records in deterministic and random trees
We study random cutting down of a rooted tree and show that the number of cuts is equal (in distribution) to the number of records in the tree when edges (or vertices) are assigned...
Svante Janson
CPC
1999
105views more  CPC 1999»
13 years 7 months ago
Total Path Length For Random Recursive Trees
Total path length, or search cost, for a rooted tree is defined as the sum of all root-to-node distances. Let Tn be the total path length for a random recursive tree of order n. M...
Robert P. Dobrow, James Allen Fill
CPC
2008
65views more  CPC 2008»
13 years 7 months ago
The Distribution of Patterns in Random Trees
Let Tn denote the set of unrooted labeled trees of size n and let M be a particular (finite, unlabeled) tree. Assuming that every tree of Tn is equally likely, it is shown that the...
Frédéric Chyzak, Michael Drmota, Tho...
CPC
2006
93views more  CPC 2006»
13 years 7 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper