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Algorithms for graph mining and cluster detection in networks are mainly based on network flow and minimum cut theory ([ 63, 64]), and also on spectral clustering [ 65].
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In this way, the model solution can be converted to the minimum cut problem with constraints, and we can employ the graph theory to solve the problem.
Based on the objective function generator grouping which is mentioned in (9) with the graph theory in section 2.1, the disturbed generators of coherent grouping problem could be converted into the minimum cut problem.
Officials said the minimum cut would result in the reduction of about 28,000 permits.
Since Cut 1 satisfies the constraint of coherence/separation, it is a probable minimum cut.
Boykov and Kolmogrov [23] borrowed algorithms for network flows to search the minimum cut of graph-cuts problem.
By fixing k and θ, the problem in Equation 2 is solved by minimum cut algorithm (graph cut algorithm).
In VLSI circuit partitioning, the problem of obtaining a minimum cut is of prime importance.
Moreover, Minimum Cut Sets (MCS) and importance calculation are applied to analyze the fault tree quantitatively.
So the circuit partitioning problem is closely related to the minimum cut problem.
Then a global minimum cut in undirected graph equals to the minimum value from the two parts.
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