Kenneth L. Clarkson

Kenneth Lee Clarkson is an American computer scientist known for his research in computational geometry. He is a researcher at the IBM Almaden Research Center, and co-editor-in-chief of the Journal of Computational Geometry.

Clarkson received his Ph.D. from Stanford University in 1984, under the supervision of Andrew Yao. Until 2007 he worked for Bell Labs.

In 1998 he was co-chair of the ACM Symposium on Computational Geometry.

Clarkson's primary research interests are in computational geometry.

His most highly cited paper, with Peter Shor, uses random sampling to devise optimal randomized algorithms for several problems of constructing geometric structures, following up on an earlier singly-authored paper by Clarkson on the same subject. It includes algorithms for finding all ${\displaystyle k}$ intersections among a set of ${\displaystyle n}$ line segments in the plane in expected time ${\displaystyle O(k+n\log n)}$, finding the diameter of a set of ${\displaystyle n}$ points in three dimensions in expected time ${\displaystyle O(n\log n)}$, and constructing the convex hull of ${\displaystyle n}$ points in ${\displaystyle d}$-dimensional Euclidean space in expected time ${\displaystyle O(n^{\lfloor d/2\rfloor }+n\log n)}$. The same paper also uses random sampling to prove bounds in discrete geometry, and in particular to give tight bounds on the number of ≤k-sets.

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