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Graph_Optimization_Library

This C++ Optimization Library is a versatile collection of modules and algorithms designed to help you solve a variety of optimization problems related to graph theory. Whether you're working on finding the shortest paths, maximum flows, or implementing popular algorithms like Dijkstra's, A* search, Edmonds-Karp, Floyd-Warshall, and Hungarian, this library has you covered.

Table of Contents

  • Features
  • Modules
  • Optimization Algorithms
  • Contributing

Features

  • Implement classic graph algorithms like Dijkstra’s, A* search, Edmonds-Karp, Floyd-Warshall, and Hungarian.
  • Leverage optimization techniques to make graph algorithms more efficient.
  • Solve practical optimization problems, including shortest paths and network flows.
  • Easy-to-use C++ library with well-documented modules.

Modules

  • Dijkstra's Algorithm: Find the shortest path from a source node to all other nodes in a weighted graph.
  • A Search*: Implement the A* search algorithm for efficient pathfinding in graphs.
  • Edmonds-Karp Algorithm: Solve the maximum flow problem in a flow network using the Edmonds-Karp algorithm.
  • Floyd-Warshall Algorithm: Compute all-pairs shortest paths in a weighted graph using Floyd-Warshall.
  • Hungarian Algorithm: Solve the assignment problem using the Hungarian algorithm for maximum bipartite matching.
  • Ford-Fulkerson: To find the maximum flow in a flow network.
  • Bellman-Ford algorithm: Finds the shortest path from a source node to all other nodes in a weighted directed graph, even if the graph contains edges with negative weights.

Optimization Algorithms

This library will include optimization techniques to make graph algorithms more efficient, including:

  • Memory-efficient representations of data structures.
  • Parallelization for multi-core systems.
  • Early termination and pruning strategies.
  • Handling sparse graphs efficiently.

Contributing

Contributions to this library are welcome! If you have ideas for improvements or new features, please open an issue or submit a pull request. Make sure to follow the project's coding guidelines and maintain a respectful and collaborative environment.

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