Adaptive Network Flow with $k$-Arc Destruction

Thomas Ridremont 1 Dimitri Watel 2 Pierre-Louis Poirion 3 Christophe Picouleau 4
1 UMA - Unité de Mathématiques Appliquées
2 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
3 RIKEN Research Center
4 CEDRIC - OC - CEDRIC. Optimisation Combinatoire
CEDRIC - Centre d'études et de recherche en informatique et communications
Abstract : When a flow is not allowed to be reoriented the Maximum Residual Flow Problem with $k$-Arc Destruction is known to be $NP$-hard for $k=2$. We show that when a flow is allowed to be adaptive the problem becomes polynomial for every fixed $k$.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02440948
Contributor : Christophe Picouleau <>
Submitted on : Wednesday, January 15, 2020 - 3:19:00 PM
Last modification on : Saturday, February 1, 2020 - 1:52:29 AM

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  • HAL Id : hal-02440948, version 1
  • ARXIV : 1711.00831

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Thomas Ridremont, Dimitri Watel, Pierre-Louis Poirion, Christophe Picouleau. Adaptive Network Flow with $k$-Arc Destruction. 2020. ⟨hal-02440948⟩

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