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Article
Computing circular separability
Two sets of planar pointsS 1 andS 2 are circularly separable if there is a circle that enclosesS 1 but excludesS 2. We show that deciding whether two sets are circularly separable can be accomplished inO(n) time ...
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Article
On the complexity of polyhedral separability
It is NP-complete to recognize whether two sets of points in general space can be separated by two hyperplanes. It is NP-complete to recognize whether two sets of points in the plane can be separated withk lines....
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Article
On the ball spanned by balls
The procedure for linear programming in linear time in fixed dimension is extended to solve in linear time certain nonlinear problems. Examples are the problem of finding the smallest ball enclosingn given balls,...