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FOCS
1991
IEEE

Dynamic Three-Dimensional Linear Programming

13 years 8 months ago
Dynamic Three-Dimensional Linear Programming
We perform linear programming optimizations on the intersection of k polyhedra in R3 , represented by their outer recursive decompositions, in expected time O(k log k log n + √ k log k log3 n). We use this result to derive efficient algorithms for dynamic linear programming problems in which constraints are inserted and deleted, and queries must optimize specified objective functions. As an application, we describe an improved solution to the planar 2-center and 2-median problems.
David Eppstein
Added 27 Aug 2010
Updated 27 Aug 2010
Type Conference
Year 1991
Where FOCS
Authors David Eppstein
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