Interplay between Graph Topology and Correlations of Third Order in Spiking Neuronal Networks
Fig 7
Contribution of tree motifs with longer total branch length increases in networks with excitatory hubs.
Top: Theoretical (narrow out-degree distribution approximation for random networks) and sample contributions (in non-regular networks) of the average third cumulant of T6 (see Fig 4) tree topologies with fixed branch lengths. Ticks on the x-axis code for the lengths of the branches of the tree. The ordering of the indices in the tick labels is done in a top-to-bottom and left-to-right fashion. The sample contributions were computed as averages of 3 independent realizations of an assortative network with a geometric out-degree distribution. Bottom: Theoretical and sample contributions to the average third cumulant of T1 tree topologies with fixed branch lengths.