  A recent method based on the concurrence of complex networks and multifractal
analyses is applied for the first time to explore ground-level ozone behavior.
Ozone time series are converted into complex networks for their posterior
analysis. The searched purpose is to check the suitability of this
transformation and to see whether some features of these complex networks could
constitute a preliminary analysis before the more thorough multifractal
formalism. Results show effectively that the exposed transformation stores the
original information about the ozone dynamics and gives meaningful knowledge
about the time series. Based on these results, the multifractal analysis of the
complex networks is performed. Looking at the physical meaning of the
multifractal properties (such as fractal dimensions and singularity spectrum),
a relationship between those and the degree distribution of the complex
networks is found. In addition to all the promising results, this novel
connection between time series and complex networks can deal with both
stationary and non-stationary time series, overcoming one of the main
limitations of multifractal analysis. Therefore, this technique can be regarded
as an alternative to give supplementary information within the study of complex
signals.
