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Polynomial Time
Two Dimensions
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Computing Minimum Diameter Color-Spanning Sets
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Computing Minimum Diameter Color-Spanning Sets
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Citations: 3
)
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Rudolf Fleischer
,
Xiaoming Xu
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
DOI:
10.1007/978-3-642-14553-7_27
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Citation Context
(1)
...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. Chen
,
et al.
Algorithms for Interval Structures with Applications
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Citations
(3)
NP-Completeness of Spreading Colored Points
(
Citations: 1
)
Ovidiu Daescu
,
Wenqi Ju
,
Jun Luo
Conference:
Conference on Combinatorial Optimization and Applications - COCOA
, pp. 41-50, 2010
On Some Geometric Problems of Color-Spanning Sets
Chenglin Fan
,
Wenqi Ju
,
Jun Luo
,
Binhai Zhu
Algorithms for Interval Structures with Applications
Danny Z. Chen
,
Ewa Misiołek