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- W2953156964 abstract "Let $L$ be a set of $n$ lines in $reals^d$, for $dge 3$. A {em joint} of $L$ is a point incident to at least $d$ lines of $L$, not all in a common hyperplane. Using a very simple algebraic proof technique, we show that the maximum possible number of joints of $L$ is $Theta(n^{d/(d-1)})$. For $d=3$, this is a considerable simplification of the orignal algebraic proof of Guth and Katz~cite{GK}, and of the follow-up simpler proof of Elekes et al. cite{EKS}." @default.
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- W2953156964 date "2009-06-02" @default.
- W2953156964 modified "2023-10-15" @default.
- W2953156964 title "On lines and Joints" @default.
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