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combinatorial optimization, network flow problems are a class of computational problems in which the input is a flow network (a graph with numerical capacities...

theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow. The amount...

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

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...

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

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...

Network flow may refer to: Network flow problem Flow network Traffic flow (computer networking) Flow (disambiguation) This disambiguation page lists articles...

the observation that adding one or more roads to a road network can slow down overall traffic flow through it. The paradox was first discovered by Arthur...

to max-flow min-cut theorem, 2 nodes' Minimum cut value is equal to their maxflow value. In this case, some algorithms used in maxflow problem could also...

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...

The algorithm is usually formulated in terms of a minimum-cost flow problem. The network simplex method works very well in practice, typically 200 to 300...

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" as...

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

In graph theory, a nowhere-zero flow or NZ flow is a network flow that is nowhere zero. It is intimately connected (by duality) to coloring planar graphs...

implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in O ( | V | | E | 2 ) {\displaystyle O(|V||E|^{2})} time. The algorithm...

Barnhart, Cynthia (1988). A network-based primal-dual solution methodology for the multi-commodity network flow problem (Ph.D.). Massachusetts Institute...

related to the theory of network flow problems. The connectivity of a graph is an important measure of its resilience as a network. In an undirected graph...

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

minimum-cost flow problem in a flow network. It was published in 1961 by D. R. Fulkerson  and is described here. The analog of steady state flow in a network of...

electrical networks which will automatically produce a solution to the minimum s–t cut problem. Alternatively, simulation of such a network will also produce...