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Minimum spanning tree with conflicting edge pairs: a branch-and-cut approach

  • S.I.: CoDIT2017-Combinatorial Optimization
  • Published:
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Abstract

In this paper, we show a branch-and-cut approach to solve the minimum spanning tree problem with conflicting edge pairs. This is a NP-hard variant of the classical minimum spanning tree problem, in which there are mutually exclusive edges. We introduce a new set of valid inequalities for the problem, based on the properties of its feasible solutions, and we develop a branch-and-cut algorithm based on them. Computational tests are performed both on benchmark instances coming from the literature and on some newly proposed ones. Results show that our approach outperforms a previous branch-and-cut algorithm proposed for the same problem.

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Authors and Affiliations

  1. Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, 84084, Fisciano, SA, Italy

    Francesco Carrabs, Raffaele Cerulli, Rosa Pentangelo & Andrea Raiconi

Authors
  1. Francesco Carrabs
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  2. Raffaele Cerulli
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  3. Rosa Pentangelo
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  4. Andrea Raiconi
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Corresponding author

Correspondence to Rosa Pentangelo.

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Carrabs, F., Cerulli, R., Pentangelo, R. et al. Minimum spanning tree with conflicting edge pairs: a branch-and-cut approach. Ann Oper Res 298, 65–78 (2021). https://doi.org/10.1007/s10479-018-2895-y

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  • DOI: https://doi.org/10.1007/s10479-018-2895-y

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