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Extra Space during Initialization of Succinct Data Structures and Dynamical Initializable Arrays

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.

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Frank Kammer and Andrej Sajenko. Extra Space during Initialization of Succinct Data Structures and Dynamical Initializable Arrays. In 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 117, pp. 65:1-65:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.MFCS.2018.65

Abstract

Many succinct data structures on the word RAM require precomputed tables to start operating. Usually, the tables can be constructed in sublinear time. In this time, most of a data structure is not initialized, i.e., there is plenty of unused space allocated for the data structure. We present a general framework to store temporarily extra buffers between the user defined data so that the data can be processed immediately, stored first in the buffers, and then moved into the data structure after finishing the tables. As an application, we apply our framework to Dodis, Patrascu, and Thorup's data structure (STOC 2010) that emulates c-ary memory and to Farzan and Munro's succinct encoding of arbitrary graphs (TCS 2013). We also use our framework to present an in-place dynamical initializable array.

Subject Classification

ACM Subject Classification
  • Theory of computation → Data structures design and analysis
Keywords
  • space efficiency
  • succinct c-ary memory
  • dynamic graph representation

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