maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can...

minimum-cost flow problem (MCFP) is an optimization and decision problem to find the cheapest possible way of sending a certain amount of flow through a flow network...

science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from the source to the sink...

Commons has media related to Flow networks. Maximum Flow Problem Real graph instances Lemon C++ library with several maximum flow and minimum cost circulation...

Specific types of network flow problems include: The maximum flow problem, in which the goal is to maximize the total amount of flow out of the source terminals...

(alternatively, preflow–push algorithm) is an algorithm for computing maximum flows in a flow network. The name "push–relabel" comes from the two basic operations...

multi-commodity flow problem is a network flow problem with multiple commodities (flow demands) between different source and sink nodes. Given a flow network...

polynomial time using a reduction to the maximum flow problem. It may be used to model various application problems of choosing an optimal subset of tasks...

Ford–Fulkerson algorithm, one of the most well-known algorithms to solve the maximum flow problem in networks. D. R. Fulkerson was born in Tamms, Illinois, the third...

on the maximum flow problem[GT88][CG97][GR98] and shortest path problem,[CGR96][GH05] including the discovery of the push–relabel maximum flow algorithm...

biology, graph partitioning, and single- and multi-commodity flows (maximum flow problem). Rao is an ACM Fellow (2013) and won the Fulkerson Prize with...

DTW-equivalent shortest path problem to the maximum flow problem in the dual graph, which can be solved by most max-flow algorithms. However, when the...

circulation problem and its variants are a generalisation of network flow problems, with the added constraint of a lower bound on edge flows, and with flow conservation...

matching problem is closely related to the augmenting paths arising in maximum flow problems, paths along which one may increase the amount of flow between...

In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed...

are consistent in all respects with those given in a discussion of the maximum-flow minimum-cut theorem. Cederbaum's theorem applies to a particular type...

simplex algorithm. Problems that can be solved with linear programming include the maximum flow problem for directed graphs. If a problem additionally requires...

would perform O ( n 2 ) {\displaystyle O(n^{2})} iterations of the Maximum flow problem, which can be solved in O ( n 3 ) {\displaystyle O(n^{3})} time....

maximum flow problem in a graph (and thus, by the max-flow min-cut theorem, define a minimal cut of the graph). Under most formulations of such problems in...

in network flow problems. He was the son of mathematician Lester R. Ford Sr. Ford's paper with D. R. Fulkerson on the maximum flow problem and the Ford–Fulkerson...

for industrial and Applied Mathematics 1988: A new approach to the maximum-flow problem, V Goldberg, RE Tarjan, Journal of the ACM (JACM) 35 (4), 921-940...

maximum flows. A closely related problem, the minimax path problem or bottleneck shortest path problem asks for the path that minimizes the maximum weight...

problem (which is equivalent in the single-terminal case to the maximum flow problem), and approximating the minimum-cost weighted perfect matching. Other...

running time. Ford and Fulkerson extended the method to general maximum flow problems in form of the Ford–Fulkerson algorithm. In this simple example...

Flow-shop scheduling is an optimization problem in computer science and operations research. It is a variant of optimal job scheduling. In a general job-scheduling...

algorithm solves the more general problem of computing the maximum flow. A bipartite graph (X + Y, E) can be converted to a flow network as follows. Add a source...

Finding a matching in a bipartite graph can be treated as a network flow problem. Given a graph G = (V, E), a matching M in G is a set of pairwise non-adjacent...

algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli (formerly Soviet) computer...

with the relationship between maximum flow rate ("max-flow") and minimum cut ("min-cut") in a multi-commodity flow problem. The theorems have enabled the...

to the same problem on the condensation of the graph. It may be solved in polynomial time using a reduction to the maximum flow problem. Some algorithms...