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