superfamilies of evolved and designed networks n.
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Superfamilies of Evolved and Designed Networks - PowerPoint PPT Presentation

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Superfamilies of Evolved and Designed Networks
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  1. Superfamiliesof Evolved and Designed Networks

  2. Introduction • Difficulties in comparison of complex networks from different fields, • Significance profile (SP), • Similar superfamiliesfound.

  3. Calculation of SP (directed networks) • An ensemble of randomized networks with the same degree sequence • Counting Z scores: Zi = (Nreali - <Nrandi>) / std(Nrandi), • SP - the vector of Z scores normalized to length 1: SPi = Zi / (∑ Zi 2)1/2

  4. Triad SP

  5. Calculation of SRP (non – directed networks) • Counting ∆s ∆i = (Nreali - <Nrandi>) / (Nreali + <Nrandi> + ξ), • SRP – vector of ∆s normalized to length 1 SPRi = ∆i / (∑∆i2)1/2

  6. Tetrad SPR