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 Federal Constitution has stood the test of more than a hundred years in supplying the powers that have been needed to make the Central Government as strong as it ought to be, and with this movement toward uniform legislation and agreements between the States I do not see why the Constitution may not serve our people always.”
—William Howard Taft (1857–1930)
“But, where the road runs near the stream,
Oft through the trees they catch a glance
Of passing troops in the sun’s beam—
Pennon, and plume, and flashing lance!
Forth to the world those soldiers fare,
To life, to cities, and to war!”
—Matthew Arnold (1822–1888)