Interplay of Inhibition and Multiplexing : Largest Eigenvalue Statistics

Captions:Figure 1: Phase diagram depicting shape parameter ξ for accepted GEV distribution forER-ER multiplex network as a function of IC inclusion probabilities (pin) in both the layers. Region Bcorresponds to the Weibull. Region A stands for undefined distributions. Size of the network N=100 in eachlayer.Figure 2: (Color online) Distribution of Rmax of SF networks with average degree hki = 4 for various ICinclusion probabilities (pin). Histogram is fitted with normal (blue dotted line) and GEV (red solid line)distributions. Network size N=500.Figure 3: (Color online) Distribution of Rmax of SF networks with average degree hki = 6 for various ICinclusion probabilities (pin). Histogram is fitted with normal (blue dotted line) and GEV (red solid line)distributions. Network size N=500.Table 1: Estimated parameters of KS test for fitting GEV and normal distributions of Rmax for differentnetwork sizes of SF network over a average of 5000 random realization. Other parameters are inhibitioninclusion probability pin = 0.5 and average degree k = 6.Table 2: Estimated parameters of KS test for fitting of GEV and normal distributions of Rmax for different inhibitoryinclusion probability (pin) of SF- SF network over 5000 population. Other parameters are network size N = 100 in each layer andaverage degree k = 6.Table 3: Estimated parameters of KS test for fitting of GEV and normal distributions of Rmax for different inhibitoryinclusion probability (pin) of ER- SF network over 5000 population. Other parameters are network size N = 100 in each layer andaverage degree k = 6.