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Simple 2^f-Color Choice Dictionaries

Authors Frank Kammer, Andrej Sajenko

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Author Details

Frank Kammer
  • THM, University of Applied Sciences Mittelhessen, Germany
Andrej Sajenko
  • THM, University of Applied Sciences Mittelhessen, Germany

Funding

  • Sajenko, Andrej: Funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 379157101.

Cite As Get BibTex

Frank Kammer and Andrej Sajenko. Simple 2^f-Color Choice Dictionaries. In 29th International Symposium on Algorithms and Computation (ISAAC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 123, pp. 66:1-66:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.ISAAC.2018.66

Abstract

A c-color choice dictionary of size n in N is a fundamental data structure in the development of space-efficient algorithms that stores the colors of n elements and that supports operations to get and change the color of an element as well as an operation choice that returns an arbitrary element of that color. For an integer f>0 and a constant c=2^f, we present a word-RAM algorithm for a c-color choice dictionary of size n that supports all operations above in constant time and uses only nf+1 bits, which is optimal if all operations have to run in o(n/w) time where w is the word size.
In addition, we extend our choice dictionary by an operation union without using more space.

Subject Classification

ACM Subject Classification
  • Theory of computation → Data structures design and analysis
Keywords
  • space efficient
  • succinct
  • word RAM

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References

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