Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Sequential and parallel algorithms for minimum flows
The Korean Journal of Computational & Applied Mathematics
Digraphs: Theory, Algorithms and Applications
Digraphs: Theory, Algorithms and Applications
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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.