About preflow algorithms for the minimum flow problem

  • Authors:
  • Laura Ciupala;Eleonor Ciurea

  • Affiliations:
  • Department of Computer Science, University Transilvania of Brasov, Brasov, Romania;Department of Computer Science, University Transilvania of Brasov, Brasov, Romania

  • Venue:
  • WSEAS Transactions on Computer Research
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, we describe the highest-label preflow algorithm for minimum flow. This algorithm is a special implementation of the generic preflow algorithm developed by Ciurea and Ciupala in [8], obtained by imposing in the generic preflow algorithm the rule that the algorithm must always select an active node with the highest distance label. Our new algorithm runs in O(n2m1/2) time, which is substantially better than the running time of the generic preflow algorithm, that is O(n2m). Moreover, the highest-label preflow algorithm is the fastest polynomial algorithm for minimum flow problem.