Abstract
A bit-vector encoding is a well known method for representing hierarchies (i.e. partially ordered sets). This encoding corresponds to an embedding of a given hierarchy into a Boolean lattice whose dimension is the encoding’s size. Computing an optimal bit-vector encoding, which size is called the 2-dimension, is an \(\mathcal {N}\mathcal {P}\)-hard problem. Hence, many algorithms were designed to provide good bit-vector encoding. In this paper, we study tree hierarchies. We analyse previous algorithms for their bit-vector encoding then we point out their common strategy that led us to design a new algorithm improving all the previous ones.
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Ghazi, K., Beaudou, L., Raynaud, O. (2019). Algorithms for a Bit-Vector Encoding of Trees. In: Vasant, P., Zelinka, I., Weber, GW. (eds) Intelligent Computing & Optimization. ICO 2018. Advances in Intelligent Systems and Computing, vol 866. Springer, Cham. https://doi.org/10.1007/978-3-030-00979-3_44
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DOI: https://doi.org/10.1007/978-3-030-00979-3_44
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