Efficient algorithms for common transversals
Information Processing Letters
Lower bounds for line stabbing
Information Processing Letters
Linear Programming in Linear Time When the Dimension Is Fixed
Journal of the ACM (JACM)
Hi-index | 0.89 |
Given a set S of n disjoint convex polygons {Pi 1 ≤ i ≤ n} in a plane, each with ki vertices, the transversal problem is to determine whether there exists a straight line that goes through every polygon in S. We show that the transversal problem can be solved in O(N + n log n) time, where N = Σi=1 nki is the total number of vertices of the polygons.