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A Unified Approach to Linear Probing Hashing with Buckets
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
Univ Republica, Montevideo, Uruguay..
2016 (English)In: Algorithmica, ISSN 0178-4617, E-ISSN 1432-0541, Vol. 75, no 4, 724-781 p.Article in journal, Meeting abstract (Refereed) PublishedText
Abstract [en]

We give a unified analysis of linear probing hashing with a general bucket size. We use both a combinatorial approach, giving exact formulas for generating functions, and a probabilistic approach, giving simple derivations of asymptotic results. Both approaches complement nicely, and give a good insight in the relation between linear probing and random walks. A key methodological contribution, at the core of Analytic Combinatorics, is the use of the symbolic method (based on q-calculus) to directly derive the generating functions to analyze.

Place, publisher, year, edition, pages
2016. Vol. 75, no 4, 724-781 p.
Keyword [en]
Hashing, Linear probing, Buckets, Generating functions, Analytic combinatorics
National Category
Probability Theory and Statistics Mathematical Analysis
Identifiers
URN: urn:nbn:se:uu:diva-299020DOI: 10.1007/s00453-015-0111-xISI: 000377359000006OAI: oai:DiVA.org:uu-299020DiVA: diva2:948871
Conference
Meeting of Algorithmica on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, 2014, paris, FRANCE
Available from: 2016-07-14 Created: 2016-07-13 Last updated: 2016-08-01Bibliographically approved

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Janson, Svante
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