Uniform Spanning Trees
A spanning tree chosen randomly from among all the spanning trees with equal probability is called a uniform spanning tree (UST). This model has been extensively researched in probability and mathematical physics.
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Famous quotes containing the words uniform and/or trees:
“When a uniform exercise of kindness to prisoners on our part has been returned by as uniform severity on the part of our enemies, you must excuse me for saying it is high time, by other lessons, to teach respect to the dictates of humanity; in such a case, retaliation becomes an act of benevolence.”
—Thomas Jefferson (1743–1826)
“the broad cloud-driving moon in the clear sky
Lifts o’er the firs her shining shield,
And in her tranquil light
Sleep falls on forest and field.
See! sleep hath fallen: the trees are asleep:
The night is come. The land is wrapt in sleep.”
—Robert Bridges (1844–1930)