Compact mixed integer linear programming models to the minimum weighted tree reconstruction problem.

•Proposal of 2 compact MILP models to the Minimum Weighted Tree Reconstruction Problem.•Models use flows to define the tree topology and have different objective functions.•Computational results use instances from phylogenetic and telecommunications area.•Computational results use sets of instances having up to 15 terminal nodes.•One of the models outperforms the previous models proposed in the literature.