Optimal-size problem kernels for d-Hitting Set in linear time and space
The known linear-time kernelizations for d-Hitting Set guarantee linear worst-case running times using a quadratic-size data structure (that is not fully initialized). Getting rid of this data structure, we show that problem kernels of asymptotically optimal size O(kd) for d-Hitting Set are computab...
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Veröffentlicht in: | Information processing letters 2020-11, Vol.163, p.105998, Article 105998 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | The known linear-time kernelizations for d-Hitting Set guarantee linear worst-case running times using a quadratic-size data structure (that is not fully initialized). Getting rid of this data structure, we show that problem kernels of asymptotically optimal size O(kd) for d-Hitting Set are computable in linear time and space. Additionally, we experimentally compare the linear-time kernelizations for d-Hitting Set to each other and to a classical data reduction algorithm due to Weihe.
•Linear-time and space kernelizations for d-Hitting Set.•Experimental comparison to well-known data reduction algorithm of Weihe.•For low parameter values, kernelization is superior. |
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ISSN: | 0020-0190 1872-6119 |
DOI: | 10.1016/j.ipl.2020.105998 |