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Superfamilies of Evolved and Designed Networks

Superfamilies of Evolved and Designed Networks. Introduction. Difficulties in comparison of complex networks from different fields, Significance profile (SP), Similar superfamilies found. Calculation of SP (directed networks). An ensemble of randomized networks with the same degree sequence

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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

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