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:

    It is a secret from nobody that the famous random event is most likely to arise from those parts of the world where the old adage “There is no alternative to victory” retains a high degree of plausibility.
    Hannah Arendt (1906–1975)

    Sometimes we see a cloud that’s dragonish,
    A vapor sometimes like a bear or lion,
    A towered citadel, a pendant rock,
    A forked mountain, or blue promontory
    With trees upon ‘t that nod unto the world
    And mock our eyes with air. Thou hast seen these signs;
    They are black vesper’s pageants.
    William Shakespeare (1564–1616)