On the integral plane two-commodity flow problem

  • Authors:

  • Frieda Granot;Michal Penn

  • Affiliations:

  • Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, BC, Canada;Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, BC, Canada and Faculty of Industrial Engineering, Technion, Israel Institute of Technology, Haifa, I ...

  • Venue:
  • Operations Research Letters
  • Year:
  • 1992

Quantified Score

Hi-index 0.00

Visualization

Abstract

We consider in this note the maximum integral two-commodity flow problem in augmented planar graphs, that is with both source-sink edges added. We provide an O(n log n) simple algorithm to determine the minimal increase in the weight function required to ensure that the value of a maximum plane integral two-commodity flow equals the value of the maximum plane two-commodity flow with both values equal to the original maximum two-commodity flow value.