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 (18171862)
“But we still remember ... above all, the cool, free aspect of the wild apple trees, generously proffering their fruit to us, though still green and crude,the hard, round, glossy fruit, which, if not ripe, still was not poison, but New English too, brought hither, its ancestors, by ours once. These gentler trees imparted a half-civilized and twilight aspect to the otherwise barbarian land.”
—Henry David Thoreau (18171862)