maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can...
42 KB (5,227 words) - 18:08, 27 October 2024
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...
10 KB (1,239 words) - 15:12, 8 September 2024
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...
23 KB (3,437 words) - 15:14, 8 September 2024
Commons has media related to Flow networks. Maximum Flow Problem Real graph instances Lemon C++ library with several maximum flow and minimum cost circulation...
22 KB (3,042 words) - 15:41, 26 July 2024
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...
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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...
12 KB (1,622 words) - 19:54, 12 October 2024
multi-commodity flow problem is a network flow problem with multiple commodities (flow demands) between different source and sink nodes. Given a flow network...
7 KB (1,161 words) - 20:39, 23 September 2024
(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...
35 KB (4,257 words) - 19:57, 12 October 2024
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...
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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...
25 KB (3,746 words) - 19:56, 12 October 2024
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...
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on the maximum flow problem[GT88][CG97][GR98] and shortest path problem,[CGR96][GH05] including the discovery of the push–relabel maximum flow algorithm...
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In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed...
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biology, graph partitioning, and single- and multi-commodity flows (maximum flow problem). Rao is an ACM Fellow (2013) and won the Fulkerson Prize with...
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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....
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Graph cuts in computer vision (category Computational problems in graph theory)
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...
16 KB (2,097 words) - 09:58, 9 October 2024
Minimum spanning tree (redirect from Minimum spanning tree problem)
problem (which is equivalent in the single-terminal case to the maximum flow problem), and approximating the minimum-cost weighted perfect matching. Other...
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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...
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Hungarian algorithm (section The problem)
running time. Ford and Fulkerson extended the method to general maximum flow problems in form of the Ford–Fulkerson algorithm. In this simple example...
40 KB (5,515 words) - 06:40, 28 September 2024
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...
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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...
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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...
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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...
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Algorithm (redirect from Algorithmic problem)
problem in this category, such as the popular simplex algorithm. Problems that can be solved with linear programming include the maximum flow problem...
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Dantzig–Wolfe decomposition Knapsack problem Maximum flow problem Optimization (mathematics) Travelling salesman problem Shadow price List of Jewish American...
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maximum flows. A closely related problem, the minimax path problem or bottleneck shortest path problem asks for the path that minimizes the maximum weight...
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Matching (graph theory) (redirect from Maximum matching problem)
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...
23 KB (2,938 words) - 10:22, 13 October 2024
cut. In practice, the minimum cut problem is always discussed with the maximum flow problem, to explore the maximum capacity of a network, since the minimum...
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Ford–Fulkerson algorithm (category Network flow problem)
Ford–Fulkerson algorithm (FFA) is a greedy algorithm that computes the maximum flow in a flow network. It is sometimes called a "method" instead of an "algorithm"...
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Directed acyclic graph (section Closure problem)
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...
45 KB (5,627 words) - 09:39, 4 October 2024