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The simulations in Section 4 of the main paper comprise a range of linear combinations of these matrices: 

<img src='content_image/320313.jpg'>

To create a random community structure, we selected mixing matrix values ( λ = 0 . 0 , µ = 0 . 0) . To create a block structure and establish block 1 as the network core, we selected mixing matrix values ( λ = 0 . 3 , µ = 0 . 3) . 

