Further Research on Node Based Bottleneck Improvement Problem for Multicut

  title={Further Research on Node Based Bottleneck Improvement Problem for Multicut},
  author={Xiucui Guan and Jie Su},
In this paper, we consider the node based bottleneck improvement problem for multicut (NBBIM). The objective is to upgrade a set of nodes with minimum cost such that there is a feasible multicut whose maximum weight is not more than a given value D in the upgraded network. We first show that the problem is $\mathcal{NP}$-hard and MaxSNP-hard for K ≥2 on general directed graphs, where K is the number of source-terminal pairs. Then we present two polynomial algorithms for a special case of… 


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