Cuts in Undirected Graphs. II

Sharifov F., Hulianytskyi L.

Cybernetics and Systems Analysis, 56, 745–752 (2020).


To improve the value of the objective function, two algorithms for transforming the current base into a new one are proposed. It is shown that the maximum cut problem on an undirected graph can be reduced to finding the base of the extended polynomial, for which the value of the minimum cut that separates the source and the sink is maximum. The necessary and sufficient conditions for optimality of the solution of the maximum cut problem on undirected graphs in terms of flow theory are formulated.