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A recognition problem in converting linear programming to network flow models

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Abstract

The main goal of this paper is to study the following combinatorial problem: given a finite setE={e 1,e2,...,en} and a subset family σ={S 1,S2,...,S k} ofE, does there exist a treeT with the edge setE such that each induced subgraphT[S i] ofS i is precisely a path (1≤ik)?

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Supported by the National Natural Science Foundation of China.

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Yixun, L. A recognition problem in converting linear programming to network flow models. Appl. Math. 8, 76–85 (1993). https://doi.org/10.1007/BF02661994

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  • DOI: https://doi.org/10.1007/BF02661994

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