Optimal-size problem kernels for \(d\)-Hitting Set in linear time and space

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Publication:2203595

DOI10.1016/J.IPL.2020.105998zbMATH Open1462.68085arXiv2003.04578OpenAlexW3010681100MaRDI QIDQ2203595

Author name not available (Why is that?)

Publication date: 7 October 2020

Published in: (Search for Journal in Brave)

Abstract: 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.


Full work available at URL: https://arxiv.org/abs/2003.04578



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