# The discrete optimization problems with interval objective function on graphs and hypergraphs and the interval greedy algorithm

@article{Prolubnikov2020TheDO, title={The discrete optimization problems with interval objective function on graphs and hypergraphs and the interval greedy algorithm}, author={Alexander V. Prolubnikov}, journal={ArXiv}, year={2020}, volume={abs/2003.01937} }

We consider the discrete optimization problems with interval objective function on graphs and hypergraphs. For the problems, we need to find either a strong optimal solution or a set of all possible weak solutions. A strong solution of the problem is a solution that is optimal for all possible values of the objective function's coefficients that belong to predefined intervals. A weak solution is a solution that is optimal for some of the possible values of the coefficients. We characterize the…

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