An exact algorithm for Min-Max hyperstructure equipartition with a connected constraint

Shrink and Cut algorithm is designed to simplify original complex hyperstructure without changing the optimal solution of the Min-Max hyperstructure equipartition with a connected constraint problem. By the use of this algorithm, Min-Max hyper-tree equipartition with a connected constraint can be solved in polynomial time. An exact algorithm: Min-Max hyperstructure partitioning algorithm, based on a Shrink and Cut algorithm and algorithm S for finding all the spanning trees, is designed to solve ordinary cases, which shows well on experimental results.