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Fig. 4 | Applied Network Science

Fig. 4

From: Statistical properties of the MetaCore network of protein–protein interactions

Fig. 4

Reduced Google matrix \({G_{\mathrm{R}}}\) and its three matrix components \({G_{\mathrm{pr}}}\), \({G_{\mathrm{rr}}}\) and \({G_{\mathrm{qr}}}\) associated to the subset of nodes presented in Table 1 and belonging to the Ising MetaCore network. The weights of the matrix components are \({W_{\mathrm{pr}}}=0.952\), \({W_{\mathrm{rr}}}=0.015\), and \({W_{\mathrm{qr}}}=0.033\). Each colored cell corresponds to a \({G_{\mathrm{X}}}_{ij}\) elements with \(\mathrm X\) standing for \(\mathrm R\), \(\mathrm{rr}\), \(\mathrm{pr}\), or \(\mathrm{qr}\). A \({G_{\mathrm{X}}}_{ij}\) matrix element is associated to the \(j\rightarrow i\) link where the j index corresponds to proteins read on the bottom or the top axis of the panels and the i index corresponds to proteins read on the left axis of the panels. The \(+\) and − signs correspond to the activated and inhibited state of the node, respectively. The values of the color bar correspond to the ratio of the matrix element over its maximum value. Note that the elements of \({G_{\mathrm{qr}}}\) may be possibly negative. There are only few and very small negative values (between \(-2.6\times 10^{-5}\) and \(-5.3\times 10^{-5}\)) which are not distinguishable from zero and have the same blue color code. Therefore, the color bar is only shown for positive values

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