Lec-40 Ford Fulkerson Algorithm For Max Flow | Hindi | Operation Research

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Hii ....Our topic is ford fulkerson algorithm for calculating max flow in hindi.. In this video we calculate maximum flow in given network using ford fulkerson algorithm...
The Ford-Fulkerson algorithm is used to detect maximum flow from start vertex to sink vertex in a given graph. In this graph, every edge has the capacity. ... Flow on an edge doesn't exceed the given capacity of that graph. Incoming flow and outgoing flow will also equal for every edge, except the source and the sink.
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[@sairatnakamble3575]

the second column should be residual capacity instead of bottleneck capacity, shouldn't it ? because you are taking residual capacity values in that column

[@NumeroCinko]

@@sairatnakamble3575 I thought the same thing. should be residual capacity

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[@pankajiitkgp08]

Backward edges in a path are not taken into account. This may give sub-optimal solutions.

[@bhaveshssharma8826]

Yes, this is not optimal solution!

[@tanvivarshney6033]

I have just started this topic, backward edges are used to find residual capacity which she is doing in the question so concept is not wrong I think

[@pankajiitkgp08]

@@tanvivarshney6033 She is not finding the residual capacity properly. She is not providing any option to reduce flow along any edge, it can only increase with every iteration. In the example which she has shown, the final max flow of 12 is correct. However, there are lot of networks where this approach will give incorrect answer.
Example: Network ( [s ->a = 10], [s ->b = 7], [a -> b = 10], [a ->t ] = 7, [b->t] = 10). For this network, the max flow you will get from above video's logic is 10. However, max flow possible is 17.

[@sumerkhatri5066]

I followed her method and its giving correct ans i.e 17 for your example network!

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