Complex networks analysis of the energy landscape of the low autocorrelation binary sequences problem

Marco Tomassini

Physica A: Statistical Mechanics and its Applications, 2021, vol. 577, issue C

Abstract: We provide an up-to-date view of the structure of the energy landscape of the low autocorrelation binary sequences problem, a typical representative of the NP-hard class. To study the landscape features of interest we use the local optima network methodology through exhaustive extraction of the optima graphs for problem sizes up to 24. Several metrics are used to characterize the networks: number and type of optima, optima basins structure, degree and strength distributions, shortest paths to the global optima, and random walk-based centrality of optima. Taken together, these metrics provide a quantitative and coherent explanation for the difficulty of the low autocorrelation binary sequences problem and provide information that could be exploited by optimization heuristics for this problem, as well as for a number of other problems having a similar configuration space structure.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:577:y:2021:i:c:s0378437121003629

DOI: 10.1016/j.physa.2021.126089

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