Searching Monotone Multi-dimensional Arrays
<|reference_start|>Searching Monotone Multi-dimensional Arrays: In this paper we investigate the problem of searching monotone multi-dimensional arrays. We generalize Linial and Saks' search algorithm \cite{LS1} for monotone 3-dimensional arrays to $d$-dimensions with $d\geq 4$. Our new search algorithm is asymptotically optimal for $d=4$.<|reference_end|>
@article{cheng2005searching,
    title={Searching Monotone Multi-dimensional Arrays},
    author={Yongxi Cheng, Xiaoming Sun, Yiqun Lisa Yin},
    journal={arXiv preprint arXiv:cs/0504026},
    year={2005},
    archivePrefix={arXiv},
    eprint={cs/0504026},
    primaryClass={cs.DS cs.DM}
}