## GC connectivity for networks with both excitation and inhibition.

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Illustrated here are results related to two-neuron and three-neuron IF networks with both excitation and inhibition in (A) – (D), and a large network in (E) and (F). The edge with “” or “” at the end signifies the directed excitatory or inhibitory connections, respectively. The input parameters are chosen as (Poisson input rate) and (Poisson input strength). (A) a two-neuron network with one inhibitory neuron (labeled by neuron 1) and one excitatory neuron (labeled by neuron 2). There is only a unidirectional inhibitory synaptic connection from neuron 1 to neuron 2. (B) a three-neuron network with two excitatory neurons (labeled by neuron 1 and 2) and one inhibitory neuron (labeled by neuron 3). There are two excitatory synaptic connections as from neuron 1 to neuron 2 and from neuron 2 to neuron 3. There is also one inhibitory synaptic connection from neuron 3 to neuron 2. (C) The coincidence between and for the two-neuron network in (A). (D) The coincidence between and for the three-neuron network in (B). The white color indicates that , whereas the black color for . (E) The absolute difference between and , i.e., for the large network with 80 excitatory and 20 inhibitory neurons with adjacency matrix shown in Fig. 3A. The white color indicates that , namely, and the black color for . The percentage of total connections (number of nonzero ) is and the average neuronal firing rate is Hz. By significance test (, See Text S1 for more details), the total number of is out of possible pairs of connections. (F) Ranked GC in order of magnitude with the line (blue online) indicating a threshold obtained from the above significance test. Here, the coupling strength from excitatory to excitatory neuron and from excitatory to inhibitory neuron are (corresponding EPSP is mV), whereas the coupling strength from inhibitory to excitatory neuron and from inhibitory to inhibitory neuron are (the corresponding IPSP is mV).