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The Cartographer
Linear Probing with 5-Independent Hashing
September 15, 2015 Β· Declared Dead Β· π arXiv.org
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Authors
Mikkel Thorup
arXiv ID
1509.04549
Category
cs.DS: Data Structures & Algorithms
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
Abstract
These lecture notes show that linear probing takes expected constant time if the hash function is 5-independent. This result was first proved by Pagh et al. [STOC'07,SICOMP'09]. The simple proof here is essentially taken from [Patrascu and Thorup ICALP'10]. We will also consider a smaller space version of linear probing that may have false positives like Bloom filters. These lecture notes illustrate the use of higher moments in data structures, and could be used in a course on randomized algorithms.
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