Random Graphs - Random Trees

Random Trees

A random tree is a tree or arborescence that is formed by a stochastic process. In a large range of random graphs of order n and size M(n) the distribution of the number of tree components of order k is asymptotically Poisson. Types of random trees include uniform spanning tree, random minimal spanning tree, random binary tree, treap, rapidly exploring random tree, Brownian tree, and random forest.

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Famous quotes containing the words random and/or trees:

    poor Felix Randal;
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    When thou at the random grim forge, powerful amidst peers,
    Didst fettle for the great gray drayhorse his bright and battering
    sandal!
    Gerard Manley Hopkins (1844–1889)

    It is as when a migrating army of mice girdles a forest of pines. The chopper fells trees from the same motive that the mouse gnaws them,—to get his living. You tell me that he has a more interesting family than the mouse. That is as it happens.
    Henry David Thoreau (1817–1862)