Searching Monotone Multi-dimensional Arrays

Details Searching Monotone Multi-dimensional Arrays Searching Monotone Multi-dimensional Arrays

2005-04-07

arxiv.org/abs/cs/0504026v2

Computer Science

Data Structures and Algorithms

13 pages, 2 figures; same results, presentation improved, add two figures

Scientific paper

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 $d=4$.

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