Incidences between Points and Circles in Three and Higher Dimensions
نویسندگان
چکیده
منابع مشابه
Incidences between Points and Lines in Three Dimensions
We give a fairly elementary and simple proof that shows that the number of incidences between m points and n lines in R, so that no plane contains more than s lines, is O (
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We extend (and somewhat simplify) the algebraic proof technique of Guth and Katz [7], to obtain several sharp bounds on the number of incidences between lines and points in three dimensions. Specifically, we show: (i) The maximum possible number of incidences between n lines in R and m of their joints (points incident to at least three non-coplanar lines) is Θ(mn) for m ≥ n, and Θ(mn+m+n) for m...
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15 صفحه اولIncidences Between Points and Lines on Two- and Three-Dimensional Varieties
Let P be a set of m points and L a set of n lines in R, such that the points of P lieon an algebraic three-dimensional surface of degree D that does not contain hyperplaneor quadric components, and no 2-flat contains more than s lines of L. We show thatthe number of incidences between P and L is
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2004
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-004-1111-9