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.