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» The Distribution of Patterns in Random Trees
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CPC
2008
65views more  CPC 2008»
13 years 6 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...
COMBINATORICS
2002
113views more  COMBINATORICS 2002»
13 years 6 months ago
Longest Increasing Subsequences in Pattern-Restricted Permutations
Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limit...
Emeric Deutsch, A. J. Hildebrand, Herbert S. Wilf
DAM
2010
101views more  DAM 2010»
13 years 6 months ago
On the distribution of distances between specified nodes in increasing trees
We study the quantity distance between node j and node n in a random tree of size n for increasing tree families. We give closed formul
Markus Kuba, Alois Panholzer
CORR
2012
Springer
222views Education» more  CORR 2012»
12 years 2 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