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Efficient network algorithm to find the maximum flow within a network, with flow limitations.

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AndreIglesias/Lem-in

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Lem-in

Lem-in is an algorithmic project that focuses on finding the maximum flow in a flow network with limited capacity. This project explores the use of the Edmonds-Karp algorithm to compute the maximum flow and employs Breadth-First Search (BFS) to explore nodes by level.

Overview

The objective of the project is to find the optimal path through a network, simulating the movement of ants through a maze with specific constraints on capacity and flow. This concept has practical applications in various fields, such as traffic optimization, data packet routing, and supply chain management.



GUI by [amamy](https://git.42l.fr/amamy/Lem-in)

Algorithm Details

  • Edmonds-Karp Algorithm: A variant of the Ford-Fulkerson method, which uses BFS to find augmenting paths in the flow network. It ensures the maximum flow is computed efficiently and reliably.

  • Breadth-First Search (BFS): A traversal algorithm that explores nodes level-by-level, facilitating the identification of the shortest paths and augmenting paths for the flow algorithm.

Contributing

Contributions to the Lem-in project are welcome! If you would like to contribute, please fork the repository and submit a pull request with your changes. For major changes, open an issue to discuss your ideas before implementing them.

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Efficient network algorithm to find the maximum flow within a network, with flow limitations.

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