Worst case behavior of the Dinic algorithm

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Many max-flow phase algorithms use the Dinic algorithm to generate an acyclic network in the first phase, and then solve the maximal flow problem in such a network in the second phase. This process is then repeated until the maximum value flow is found in the original network. In this paper a class of networks is presented where the Dinic algorithm always attains it's worst case bound. The Dinic algorithm requires (n - 1) network generations, where n is the number of nodes in the original network for finding the maximum value flow in the original network.

Original languageEnglish (US)
Pages (from-to)57-60
Number of pages4
JournalApplied Mathematics Letters
Volume4
Issue number5
DOIs
StatePublished - 1991
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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