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Distribution of inter-node distances in digital trees [PDF]
We investigate distances between pairs of nodes in digital trees (digital search trees (DST), and tries). By analytic techniques, such as the Mellin Transform and poissonization, we describe a program to determine the moments of these distances.
Rafik Aguech +2 more
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Improved Random Forest Algorithm Based on Out-of-Bag Prediction and Extended Space [PDF]
On the basis of the bootstrap method, the random forest algorithm constructs a decision tree by using sampling characteristics.This reduces the correlation among decision trees at the expense of decision tree accuracy, thereby improving the prediction ...
CHANG Shuo, ZHANG Yanchun
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The continuous limit of large random planar maps [PDF]
We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulations with $n$ faces. This leads to a limiting space called the Brownian map, which is viewed as a random compact metric space.
Jean-François Le Gall
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Pattern distribution in various types of random trees [PDF]
Let $\mathcal{T}_n$ denote the set of unrooted unlabeled trees of size $n$ and let $\mathcal{M}$ be a particular (finite) tree. Assuming that every tree of $\mathcal{T}_n$ is equally likely, it is shown that the number of occurrences $X_n$ of $\mathcal{M}
Gerard Kok
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Tail Bounds for the Wiener Index of Random Trees [PDF]
Upper and lower bounds for the tail probabilities of the Wiener index of random binary search trees are given. For upper bounds the moment generating function of the vector of Wiener index and internal path length is estimated.
Tämur Ali Khan, Ralph Neininger
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Concentration Properties of Extremal Parameters in Random Discrete Structures [PDF]
The purpose of this survey is to present recent results concerning concentration properties of extremal parameters of random discrete structures. A main emphasis is placed on the height and maximum degree of several kinds of random trees. We also provide
Michael Drmota
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On the Zagreb index of random m-oriented recursive trees [PDF]
The main goal of this paper is to study the modified $F$-indices (modified first Zagreb index and modified forgotten topological index) of random $m$-oriented recursive trees (RMORTs).
Ramin Kazemi
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Trees with product-form random weights [PDF]
We consider growing random recursive trees in random environment, in which at each step a new vertex is attached according to a probability distribution that assigns the tree vertices masses proportional to their random weights.The main aim of the paper ...
Konstantin Borovkov, Vladimir Vatutin
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Election algorithms with random delays in trees [PDF]
The election is a classical problem in distributed algorithmic. It aims to design and to analyze a distributed algorithm choosing a node in a graph, here, in a tree. In this paper, a class of randomized algorithms for the election is studied.
Jean-François Marckert +2 more
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The height of random binary unlabelled trees [PDF]
This extended abstract is dedicated to the analysis of the height of non-plane unlabelled rooted binary trees. The height of such a tree chosen uniformly among those of size $n$ is proved to have a limiting theta distribution, both in a central and local
Nicolas Broutin, Philippe Flajolet
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