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Can anyone please refer/suggest me some accessible papers, works, books, websites, documentation related to The Maximum Flow Problem.

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Here is one suggestion : Network Flows: Theory, Algorithms, and Applications by Ahuja, Magnanti, Orli.

The maximum flow problem is delt with in chapters 6-8, but I suggest you read the ones before if you are not familiar with flows in general.

Also, James Orlin (one of the authors, teaches at MIT) has a webpage where you can find solutions to some of the exercises.

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    $\begingroup$ Thank you very much, after two weeks of reading I have found all I needed in the "Network Flows: Theory, Algorithms, and Applications" ! Really appreciate your help $\endgroup$ May 28 '20 at 16:30
  • $\begingroup$ Happy to help ! Great book indeed $\endgroup$
    – Kuifje
    May 28 '20 at 16:48
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A group of undergraduate students at Berkeley have a fantastic reading group on topics in TCS, and they are currently reading Max Flow. They have a webpage where they've curated recent papers with progress on the problem.

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