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 language | English (US) |
---|---|
Pages (from-to) | 57-60 |
Number of pages | 4 |
Journal | Applied Mathematics Letters |
Volume | 4 |
Issue number | 5 |
DOIs | |
State | Published - 1991 |
Externally published | Yes |
ASJC Scopus subject areas
- Applied Mathematics