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A linear programming approach to increasing the weight of all minimum spanning trees

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  • Mourad Baïou

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Fancisco Barahona

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

Abstract

Given a graph where increasing the weight of an edge has a nondecreasing convex piecewise linear cost, we study the problem of finding a minimum cost increase of the weights so that the value of all minimum spanning trees is equal to some target value. We formulate this as a combinatorial linear program and give an algorithm.

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  • Mourad Baïou & Fancisco Barahona, 2005. "A linear programming approach to increasing the weight of all minimum spanning trees," Working Papers hal-00242975, HAL.
    • Handle: RePEc:hal:wpaper:hal-00242975
    Note: View the original document on HAL open archive server: https://hal.science/hal-00242975
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    References listed on IDEAS

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    1. Francisco Barahona, 1995. "Packing Spanning Trees," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 104-115, February.
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    Cited by:

    1. Jerome Galtier, 2018. "Fast approximation of matroid packing and covering," Annals of Operations Research, Springer, vol. 271(2), pages 575-598, December.

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