Greedy Differencing Edge-Contraction heuristic for the Max-Cut problem

Abstract The Max-Cut problem is a classical NP-hard problem where the objective is to partition the nodes of an edge-weighted graph in a way that maximizes the sum of edges between the parts. We present a greedy heuristic for solving Max-Cut that combines an Edge-Contraction heuristic with the Differencing Method. We compare the heuristic’s performance to other greedy heuristics using a large and diverse set of problem instances.