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Combinatorics, Probability and Computing, 1992
A forest ℱ(n, M) chosen uniformly from the family of all labelled unrooted forests with n vertices and M edges is studied. We show that, like the Érdős-Rényi random graph G(n, M), the random forest exhibits three modes of asymptotic behaviour: subcritical, nearcritical and supercritical, with the phase transition at the point M = n/2.
Łuczak, Tomasz, Pittel, Boris
openaire +2 more sources
A forest ℱ(n, M) chosen uniformly from the family of all labelled unrooted forests with n vertices and M edges is studied. We show that, like the Érdős-Rényi random graph G(n, M), the random forest exhibits three modes of asymptotic behaviour: subcritical, nearcritical and supercritical, with the phase transition at the point M = n/2.
Łuczak, Tomasz, Pittel, Boris
openaire +2 more sources
Noble-Metal Based Random Alloy and Intermetallic Nanocrystals: Syntheses and Applications
Chemical Reviews, 2021Ming Zhou, Can Li, Jiye Fang
exaly
Mechanisms and pathology of protein misfolding and aggregation
Nature Reviews Molecular Cell Biology, 2023Nikolaos N Louros, Frederic Rousseau
exaly
Persistent organic pollutant cycling in forests
Nature Reviews Earth & Environment, 2021Ping Gong, Xiaoping Wang
exaly