Results 1 to 10 of about 2,453,886 (301)
Random Recursive Trees and Preferential Attachment Trees are Random Split Trees [PDF]
We consider linear preferential attachment trees, and show that they can be regarded as random split trees in the sense of Devroye (1999), although with infinite potential branching. In particular, this applies to the random recursive tree and the standard preferential attachment tree.
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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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On the number of transversals in random trees [PDF]
We study transversals in random trees with n vertices asymptotically as n tends to infinity. Our investigation treats the average number of transversals of fixed size, the size of a random transversal as well as the probability that a random subset of ...
Bernhard Gittenberger, Veronika Kraus
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Simply generated trees, conditioned Galton―Watson trees, random allocations and condensation: Extended abstract [PDF]
We give a unified treatment of the limit, as the size tends to infinity, of random simply generated trees, including both the well-known result in the standard case of critical Galton-Watson trees and similar but less well-known results in the other ...
Svante Janson
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Optimal randomized classification trees [PDF]
This research has been financed in part by research projects EC H2020 MSCA RISE NeEDS (Grant agreement ID: 822214), FQM-329 and P18-FR-2369 (Junta de Andaluc\'ia), and PID2019-110886RB-I00 (Ministerio de Ciencia, Innovaci\'on y Universidades, Spain).
Rafael Blanquero +3 more
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A simple and effective approach to quantitatively characterize structural complexity
This study brings insight into interpreting forest structural diversity and explore the classification of individuals according to the distribution of the neighbours in natural forests. Natural forest communities with different latitudes and distribution
Gongqiao Zhang +3 more
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AbstractWe 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. We use this to give a new proof that URTs are sofic, a result of Elek.
Benjamini, Itai +2 more
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Asymptotic variance of random symmetric digital search trees [PDF]
Dedicated to the 60th birthday of Philippe ...
Hsien-Kuei Hwang +2 more
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We investigate a network growth model in which the genealogy controls the evolution. In this model, a new node selects a random target node and links either to this target node, or to its parent, or to its grandparent, etc; all nodes from the target node to its most ancient ancestor are equiprobable destinations.
Ben-Naim, E., Krapivsky, P. L.
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Intersection of random spanning trees in complex networks
In their previous work, the authors considered the concept of random spanning tree intersection of complex networks (London and Pluhár, in: Cherifi, Mantegna, Rocha, Cherifi, Micciche (eds) Complex networks and their applications XI, Springer, Cham, 2023)
András London, András Pluhár
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