Thank you for the information you provided.

Yes, it runs an iterative algorithm on a graph and feeds the result of one
iteration to the next.

The getting stuck issue disappears when increasing the maximal iterations in
the algorithm
ex. increase to 1000 vertex centric iterations in the algorithm, before it
was 10.

The algorithm finds one maximal independent set in the while loop. 
After some iterations it only finds maximal independent set consist of only
one node.

Therefore, this idea might be wrong, but I would guess the reason that join
gets stuck is because it doesn't find any maximal independent set in that
vertex centric iteration. This causes the graph cannot become sub-graph by
filtering.



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