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:
“The sugar maple is remarkable for its clean ankle. The groves of these trees looked like vast forest sheds, their branches stopping short at a uniform height, four or five feet from the ground, like eaves, as if they had been trimmed by art, so that you could look under and through the whole grove with its leafy canopy, as under a tent whose curtain is raised.”
—Henry David Thoreau (1817–1862)
“A long war like this makes you realise the society you really prefer, the home, goats chickens and dogs and casual acquaintances. I find myself not caring at all for gardens flowers or vegetables cats cows and rabbits, one gets tired of trees vines and hills, but houses, goats chickens dogs and casual acquaintances never pall.”
—Gertrude Stein (1874–1946)