Strategies for Parallelization of Algorithms for Integer Partition

In this work we present strategies for parallelization of algorithms for representing integers as a sum of positive integers using OpenMP (Open Multi-Processing). We consider different types of algorithms—a non-recursive algorithm, a recursive algorithm and its modifications to introduce restrictions on the number and size of the summands. Different strategies for their parallelization are presented. In order to evaluate the efficiency of the strategies, we consider both the execution times and the distribution of work among threads in the presented implementations.

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Publication Details

Journal
Algorithms
Published
2025-10-16
DOI
https://doi.org/10.3390/a18100655
Primary Topic
Digital Image Processing Techniques
Type
article
Field-Weighted Citation Impact
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article

Strategies for Parallelization of Algorithms for Integer Partition

Dushan Bikov, Maria Pashinska-Gadzheva, Iliya Bouyukliev
Algorithms
Digital Image Processing Techniques
article

Strategies for Parallelization of Algorithms for Integer Partition

Dushan Bikov, Maria Pashinska-Gadzheva, Iliya Bouyukliev
article en

Abstract

In this work we present strategies for parallelization of algorithms for representing integers as a sum of positive integers using OpenMP (Open Multi-Processing). We consider different types of algorithms—a non-recursive algorithm, a recursive algorithm and its modifications to introduce restrictions on the number and size of the summands. Different strategies for their parallelization are presented. In order to evaluate the efficiency of the strategies, we consider both the execution times and the distribution of work among threads in the presented implementations.

AlgorithmsVol. 18(10)
Bulgarian Academy of Sciences (BG), Institute of Mathematics and Informatics (BG), Goce Delcev University (MK), Institute of Information and Communication Technologies (BG)
Openalex Percentile: Top 71%
Digital Image Processing Techniques
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