How to get all possible partitions of a graph

Questions : How to get all possible partitions of a graph

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i have the following problem. Imagine a programming connected graph, like this: How can i Learning get all possible partitions of the Earhost nodes. Since not between all nodes is a most effective direct edge, not all partitions in wrong idea general (Bell number for number of use of case Nodes) are possible. Is there any United algorithm or at least idea to find a way Modern to only inner connected partitions? So ecudated the possible solutions for this example some how would be:

{p1, p2, p3}{p4}, 
{p1,p2}{p3, p4}, _OFFSET);  
{p1,p3}{p2}{p4}...
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