Dears,

I am wondering if we can derive the probability density function of the adjacency matrix of a graph using the vertices distribution and link formation criterion.

Assume that we have a set of vertices distributed following a Poisson point process, and based on some criterion (for example distance) we select the node pairs that have a common link (edge), hence we find the adjacency matrix.

I am looking for the PDF in which I can generate the adjacency matrix that matches the vertices distribution and link formation criterion.

I searched for some related works and I found the PDF of the nodal degree only.

Could you please recommend me previous works related to this issue.

Thanks,

Abdullateef Almohamad.

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