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 $O(k^d)$ 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.
- Pub Date:
- March 2020
- Computer Science - Data Structures and Algorithms;
- Computer Science - Discrete Mathematics;
- More detailed algorithm descriptions, extended experimental section