Effect of the telescopic process on <i>E</i>_<i>glob</i>.

Abstract

<p>Effect of the telescopic process on subways (leftmost column), the US airline and city-based online social networks (rightmost column) as a function of <i>f</i>. The statistical properties considered in these panels are topological and metrical <i>E</i>_<i>glob</i>. The abstraction process does not preserves the topological <i>E</i>_<i>glob</i> (top panels) while varying <i>f</i>. In particular, regardless of the network considered, the networks viewed at macro level are simpler and more efficient compared to micro view. Conversely, the situation is slightly different for metrical <i>E</i>_<i>glob</i> (bottom panels). In this case, the connection pattern of the system considered alters significantly the outcome of the abstraction process. In fact, we detected that the structure of subway networks allow a good preservation of the metrical efficiency in the spectrum whereas in city-based online social networks this feature is absent.</p