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- W1981176128 abstract "J. J. Sylvester's four-point problem asks for the probability that four points chosen uniformly at random in the plane have a triangle as their convex hull. Using a combinatorial classification of points in the plane due to Goodman and Pollack, we generalize Sylvester's problem to one involving reduced expressions for the long word in the symmetric group. We conjecture an answer of 1/4 for this new version of the problem." @default.
- W1981176128 created "2016-06-24" @default.
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- W1981176128 date "2010-09-01" @default.
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- W1981176128 title "A combinatorial version of Sylvester's four-point problem" @default.
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- W1981176128 doi "https://doi.org/10.1016/j.aam.2010.01.008" @default.
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