Incidences between Points and Lines in Three Dimensions
نویسندگان
چکیده
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 (
منابع مشابه
On lines, joints, and incidences in three dimensions
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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