# What is maximum flow in a network?

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Date created: Sun, Jun 13, 2021 10:34 PM
Date updated: Tue, Jul 5, 2022 3:15 PM

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## Top best answers to the question Â«What is maximum flow in a networkÂ»

It is defined as the maximum amount of flow that the network would allow to flow from source to sink.

Flow in the network should follow the following conditions: For any non-source and non-sink node, the input flow is equal to output flow. For any edge ( E i) in the network, 0 â€ f l o w ( E i) â€ C a p a c i t y ( E i) . Total flow out of the source node is equal total to flow in to the sink nodeâŠ

The maximum flow is the largest number of âflowâ that can be achieved on the network graph. One method of finding the maximum flow is to find a cut with the minimum capacity. NOTE: The capacity of a cut is the sum of the capacities of the edges that are crossed by the cut.

Maximum flow problems involve finding a feasible flow through a single-source, single-sink flow network that is maximum. Letâs take an image to explain how the above definition wants to say. Each edge is labeled with capacity, the maximum amount of stuff that it can carry.

In optimization theory, 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 seen as a special case of more complex network flow problems, such as the circulation problem. The maximum value of an s-t flow is equal to the minimum capacity of an s-t cut in the network, as stated in the max-flow min-cut theorem.

The maximum flow problem involves finding a feasible flow between a source and a sink in a network that is maximum and not minimum.

Maximum Flow. Age 16 to 18. Challenge Level. The graph represents a supply network from to and the numbers on the edges of the graph show the maximum capacity for flow in each of the sections. Imagine any straight line cutting through edges of the graph (but not through vertices) such that is on one side of the line and is on the other.

Answer: a. Explanation: The maximum flow problem involves finding a feasible flow between a source and a sink in a network that is maximum and not minimum. advertisement. 2. A network can have only one source and one sink. a) False. b) True. View Answer. Answer: b.

The quantity f (u, v), which can be positive or negative, is known as the net flow from vertex u to vertex v. In the maximum-flow problem, we are given a flow network G with source s and sink t, and we wish to find a flow of maximum value from s to t. The three properties can be described as follows: