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The Cartographer
A Two Query Adaptive Bitprobe Scheme Storing Five Elements
October 31, 2018 Β· Declared Dead Β· π Workshop on Algorithms and Computation
"No code URL or promise found in abstract"
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Authors
Mirza Galib Anwarul Husain Baig, Deepanjan Kesh, Chirag Sodani
arXiv ID
1810.13331
Category
cs.DS: Data Structures & Algorithms
Citations
2
Venue
Workshop on Algorithms and Computation
Last Checked
4 months ago
Abstract
We are studying the adaptive bitprobe model to store an arbitrary subset S of size at most five from a universe U of size m and answer the membership queries of the form "Is x in S?" in two bitprobes. In this paper, we present a data structure for the aforementioned problem. Our data structure takes O(m^{10/11}) space. This result improves the non-explicit result by Garg and Radhakrishnan [2015] which takes O(m^{20/21}) space, and the explicit result by Garg [2016] which takes O(m^{18/19} ) space for the aforementioned set and query sizes.
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