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As titled, I am not quite sure what is purpose of Diffusion Matrix, which is support to clustering graph.

From this article (https://arxiv.org/pdf/2006.05582v1.pdf) I am might able to compute the equation, but what it leads to and how it leads to that result, I am not quite sure.

So I have three questions:

  1. What is purpose of diffusion matrix?
  2. What is its role in graph clustering?
  3. How does it serve its purpose by equation?
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