Fig. 8

PageRank magnetization \(M(K)=(P_+(K)-P_-(K))/(P_+(K)+P_-(K))\) presented in the PageRank-CheiRank \((K,K^*)\)-plane. Left panel: PageRank magnetization M(k) for the chosen twelve proteins presented in the relative indexes \((k,k^*)\)-plane (see k adn \(k^*\) indexes in Table 1). Right panel: PageRank magnetization M(K) for nodes with \(K\le 40\). Here, \(P_{\pm }(K)\) is the PageRank probability of the \((\pm )\) component of the Ising MetaCore network node associated with the K PageRank (see text). The values of the color bar correspond to \(M/\max {|M|}\) with \(\max _{k\le 12}\left| M(k)\right| =0.549\) (left panel) and \(\max _{K\le 40}\left| M(K)\right| =0.963\) (right panel). On the right panel, the \(K^*\) index is here the relative CheiRank index inside the set of the first \(K\le 40\) nodes