Dear PETSc developers,

I am curious about the mystery behind ``refine'' and ``coarsen'' routines of 
DM. 

- As mentioned on the webpage, these routines appear to neglect the coordinate 
information associated with the current DM. I suspect that some graph-based 
algebraic operations might be involved. Could you kindly share the underlying 
design principles or implementation strategies behind these routines?

Best,
Changqing

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