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Original scientific paper

https://doi.org/10.17535/crorr.2024.0015

A hybrid population-based algorithm for solving the Minimum Dominating Set Problem

Belkacem Zouilekh ; LIFORCE Laboratory, Department of Operations Research, Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, P.B. 32 El-Alia, 16111, Bab Ezzouar, Algiers, Algeria.
Sadek Bouroubi ; LIFORCE Laboratory, Department of Operations Research, Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, P.B. 32 El-Alia, 16111, Bab Ezzouar, Algiers, Algeria. *

* Corresponding author.


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Abstract

The Minimum Dominating Sets (MDS) problem is pivotal across diverse fields like social networks and ad hoc wireless networks, representing a significant NP-complete challenge in graph theory. To tackle this, we propose a novel hybrid cuckoo search approach. While cuckoo search is renowned for its wide search space exploration, we enhance it with intensification methods and genetic crossover operators for improved performance. Comprehensive experimental evaluations against state-of-the-art techniques validate our approach's effectiveness.

Keywords

genetic algorithm; hybrid cuckoo search algorithm; minimum dominating set

Hrčak ID:

321260

URI

https://hrcak.srce.hr/321260

Publication date:

7.10.2024.

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