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:
“Truly man is a marvelously vain, diverse, and undulating object. It is hard to found any constant and uniform judgment on him.”
—Michel de Montaigne (1533–1592)
“A lake is the landscape’s most beautiful and expressive feature. It is earth’s eye; looking into which the beholder measures the depth of his own nature. The fluviatile trees next the shore are the slender eyelashes which fringe it, and the wooded hills and cliffs around are its overhanging brows.”
—Henry David Thoreau (1817–1862)