Split a graph on order to solve min cut max flow algorithm in parallel

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I'm working with very big graph (millions of nodes) that have this structure: Graph

I'd like to solve the maximum flow/minimum cut problem in parallel by splitting the graph into multiple parts in order to use more than one CPU core. I know that there are approaches to do so but I can' understand well how to use them in my graph.
Can you help me?

Thank you!