  We employ the horizontal visibility algorithm to map the velocity and
acceleration time series in turbulent flows with different Reynolds numbers,
onto complex networks. The universal nature of velocity fluctuations in high
Reynolds turbulent Helium flow is found to be inherited in the corresponding
network topology. The degree distributions of the acceleration series are shown
to have stretched exponential forms with the Reynolds number dependent fitting
parameter. Furthermore, for acceleration time series, we find a transitional
behavior in terms of the Reynolds number in all network features which is in
agreement with recent empirical studies.
