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Computing Minimum Diameter Color-Spanning Sets
Computing Minimum Diameter Color-Spanning Sets   (Citations: 3)
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We study the minimum diameter color-spanning set problem which has recently drawn some attention in the database community. We show that the problem can be solved in polynomial time for L 1 and L  ∞  metrics, while it is NP-hard for all other L p metrics even in two dimensions. However, we can efficiently compute a constant factor approximation.
Conference: Frontiers in Algorithmics - FAW , pp. 285-292, 2010
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    • ...Fleischer and Xu [11] gave polynomial time algorithms for finding a minimum diameter color-spanning set using the L1 or L∞ metric and proved that the problem is NP-hard for all Lp with 1 <p< ∞. They also provided an O(1)-approximation algorithm for Algorithms for Interval Structures with Applications 199...

    Danny Z. Chenet al. Algorithms for Interval Structures with Applications

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