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The Cartographer
The effective entropy of next/previous larger/smaller value queries
August 10, 2018 Β· Declared Dead Β· π Information Processing Letters
"No code URL or promise found in abstract"
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Authors
Dekel Tsur
arXiv ID
1808.03658
Category
cs.DS: Data Structures & Algorithms
Citations
3
Venue
Information Processing Letters
Last Checked
4 months ago
Abstract
We study the problem of storing the minimum number of bits required to answer next/previous larger/smaller value queries on an array $A$ of $n$ numbers, without storing $A$. We show that these queries can be answered by storing at most $3.701 n$ bits. Our result improves the result of Jo and Satti [TCS 2016] that gives an upper bound of $4.088n$ bits for this problem.
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