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The shortest multipaths problem in a capacitated dense channel

Abstract : In this paper, we present a simple polynomial-time algorithm solving the shortest multipaths problem in particular grid graphs called dense channels. Our work extends the results of Formann et al. [M. Formann, D. Wagner and F. Wagner. Routing through a dense channel with minimum total wire length. Journal of Algorithms 15 (1993) 267-283], by considering arbitrary horizontal and vertical capacities.
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Submitted on : Friday, March 6, 2015 - 11:01:02 AM
Last modification on : Monday, February 21, 2022 - 3:38:19 PM


  • HAL Id : hal-01125162, version 1



Cédric Bentz, Marie-Christine Costa, Christophe Picouleau, Maria Zrikem. The shortest multipaths problem in a capacitated dense channel. European Journal of Operational Research, Elsevier, 2007, 178, pp.926-931. ⟨hal-01125162⟩



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