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Using optimal Golomb rulers for minimizing collisions in closed hashing
Responsible organisation
2004 (English)Conference paper, Published paper (Refereed) Published
Abstract [en]

We give conditions for hash table probing which minimize the expected number of collisions. A probing algorithm is determined by a sequence of numbers denoting jumps for an item during multiple collisions. In linear probing, this sequence consists of only ones - for each collision we jump to the next location. To minimize the collisions, it turns out that one should use the Golomb ruler conditions: consecutive partial sums of the jump sequence should be distinct. The commonly used quadratic probing scheme fulfils the Golomb condition for some cases. We define a new probing scheme - Golomb probing that fulfills the Golomb conditions for a much larger set of cases. Simulations show that Golomb probing is always better than quadratic and linear and in some cases the collisions can be reduced with 25% compared to quadratic and with more than 50% compared to linear.

Place, publisher, year, edition, pages
Chiang Mai, THAILAND: SPRINGER-VERLAG BERLIN , 2004.
National Category
Software Engineering
Identifiers
URN: urn:nbn:se:bth-8103ISI: 000226160400011Local ID: oai:bth.se:forskinfoC2543F833B4D1124C12575B000216A47ISBN: 3-540-24087-X (print)OAI: oai:DiVA.org:bth-8103DiVA: diva2:835791
Conference
9th Asian Computing Science Conference
Available from: 2012-09-18 Created: 2009-05-08 Last updated: 2015-06-30Bibliographically approved

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Lundberg, LarsLennerstad, Håkan
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
  • html
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