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Interplay of Inhibition and Multiplexing : Largest Eigenvalue Statistics

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Captions: Figure 1: Phase diagram depicting shape parameter ξ for accepted GEV distribution for ER-ER multiplex network as a function of IC inclusion probabilities ( p in ) in both the layers.

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Region B corresponds to the Weibull. Region A stands for undefined distributions.

Size of the network N=100 in each layer. Figure 2: (Color online) Distribution of R max of SF networks with average degree h k i = 4 for various IC inclusion probabilities ( p in ). Histogram is fitted with normal (blue dotted line) and GEV (red solid line) distributions.

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Network size N=500. Figure 3: (Color online) Distribution of R max of SF networks with average degree h k i = 6 for various IC inclusion probabilities ( p in ). 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 R m ax for different network sizes of SF network over a average of 5000 random realization. Other parameters are inhibition inclusion probability p in = 0 . 5 and average degree k = 6.Table 2: Estimated parameters of KS test for fitting of GEV and normal distributions of R m ax for different inhibitory inclusion probability ( p i n ) of SF- SF network over 5000 population.

Other parameters are network size N = 100 in each layer and average degree k = 6.Table 3: Estimated parameters of KS test for fitting of GEV and normal distributions of R m ax for different inhibitory inclusion probability ( p i n ) of ER- SF network over 5000 population. Other parameters are network size N = 100 in each layer and average degree k = 6.

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Condensed matter physics 68% · Tabular 65%

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