Results 11 to 20 of about 736,356 (194)
Conditioned Galton-Watson trees do not grow [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 An example is given which shows that, in general, conditioned Galton-Watson trees cannot be obtained by adding vertices one by one, while this can be done in some important but special cases, as shown by Luczak and Winkler.
Svante Janson
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Spreading of Infections on Network Models: Percolation Clusters and Random Trees
Mathematics, 2021 We discuss network models as a general and suitable framework for describing the spreading of an infectious disease within a population. We discuss two types of finite random structures as building blocks of the network, one based on percolation concepts
Hector Eduardo Roman, Fabrizio Croccolo
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Random Records and Cuttings in Split Trees: Extended Abstract [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We study the number of records in random split trees on $n$ randomly labelled vertices. Equivalently the number of random cuttings required to eliminate an arbitrary random split tree can be studied.
Cecilia Holmgren
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Topological indices for random spider trees
Main Group Metal Chemistry, 2023 In this study, we characterize the structure and some topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index, and other indices associated with these.
Sigarreta Saylé +2 more
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Distribution of inter-node distances in digital trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 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]
Jisuanji gongcheng, 2022 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]
Discrete Mathematics & Theoretical Computer Science, 2008 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]
Discrete Mathematics & Theoretical Computer Science, 2005 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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, 2012 We consider unimodular random rooted trees (URTs) and invariant forests in Cayley graphs. We show that URTs of bounded degree are the same as the law of the component of the root in an invariant percolation on a regular tree.
Aldous +5 more
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Tail Bounds for the Wiener Index of Random Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 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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