1 research outputs found
A connected multidimensional maximum bisection problem
The maximum graph bisection problem is a well known graph partition problem.
The problem has been proven to be NP-hard. In the maximum graph bisection
problem it is required that the set of vertices is divided into two partition
with equal number of vertices, and the weight of the edge cut is maximal.
This work introduces a connected multidimensional generalization of the
maximum bisection problem. In this problem the weights on edges are vectors of
positive numbers rather than numbers and partitions should be connected. A
mixed integer linear programming formulation is proposed with the proof of its
correctness. The MILP formulation of the problem has polynomial number of
variables and constraints.Comment: arXiv admin note: text overlap with arXiv:1506.0773