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Comparative analysis of box-covering algorithms for fractal networks

Péter Tamás Kovács, Marcell Nagy, Roland Molontay

2021Applied Network Science24 citationsDOIOpen Access PDF

Abstract

Abstract Research on fractal networks is a dynamically growing field of network science. A central issue is to analyze the fractality with the so-called box-covering method. As this problem is known to be NP-hard, a plethora of approximating algorithms have been proposed throughout the years. This study aims to establish a unified framework for comparing approximating box-covering algorithms by collecting, implementing, and evaluating these methods in various aspects including running time and approximation ability. This work might also serve as a reference for both researchers and practitioners, allowing fast selection from a rich collection of box-covering algorithms with a publicly available codebase.

Topics & Concepts

Computer scienceFractalCodebaseAlgorithmField (mathematics)Selection (genetic algorithm)Theoretical computer scienceMachine learningMathematicsSoftwareMathematical analysisProgramming languagePure mathematicsComplex Network Analysis TechniquesTheoretical and Computational PhysicsTopological and Geometric Data Analysis