All minimum flows in networks

  • Authors:
  • Laura Ciupală;Eleonor Ciurea

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

  • Venue:
  • ICCOMP'10 Proceedings of the 14th WSEAS international conference on Computers: part of the 14th WSEAS CSCC multiconference - Volume I
  • Year:
  • 2010

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Abstract

In this paper, we describe a method for determining all the minimum flows in a given network. The minimum flow algorithms developed until now determine only a minimum flow, but, usually, there is more than one minimum flow in a network. There are several applications that can be modeled as minimum flow problems in some networks and solved by determining all the minimum flows in those networks. This is the main reason for which we focus on the problem of determining all minimum flows in networks. This problem also arises as a subproblem when solving more complex network flows problems, for instance when solving inverse flow problems.