Results 41 to 50 of about 723,488 (236)
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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Gordon-Scantlebury and Platt Indices of Random Plane-oriented Recursive Trees [PDF]
For a simple graph G, the Gordon-Scantlebury index of G is equal to the number of paths of length two in G, and the Platt index is equal to the total sum of the degrees of all edges in G.
Ramin Kazemi
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Spanning trees in random graphs [PDF]
For each $\Delta>0$, we prove that there exists some $C=C(\Delta)$ for which the binomial random graph $G(n,C\log n/n)$ almost surely contains a copy of every tree with $n$ vertices and maximum degree at most $\Delta$.
Montgomery, Richard
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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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The probability space consisting of all graphs on a set of \(n\) vertices where each edge occurs with probability \(p\), independently of all other edges, is denoted by \(G(n,p)\). Theorem: For each \(\epsilon>0\) almost every graph \(G\in G(n,p)\) is such if \((1+\epsilon)\log n/\log ...
Paul Erdös, Zbigniew Palka
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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).
Blanquero, Rafael +3 more
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Partial match queries in relaxed K-dt trees [PDF]
The study of partial match queries on random hierarchical multidimensional data structures dates back to Ph. Flajolet and C. Puech’s 1986 seminal paper on partial match retrieval.
Duch Brown, Amalia +1 more
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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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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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Bindweeds or random walks in random environments on multiplexed trees and their asympotics [PDF]
We report on the asymptotic behaviour of a new model of random walk, we term the bindweed model, evolving in a random environment on an infinite multiplexed tree.The term multiplexed means that the model can be viewed as a nearest neighbours random walk ...
Mikhail Menshikov +2 more
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