MaxCut

MaxCut

MaxCut is an open-source software for solving the maximum cut problem on graphs. It implements cutting-edge algorithms and techniques to find the partition of a graph's nodes into two sets that maximizes the number of edges between the sets.
MaxCut image
graph-algorithms combinatorial-optimization nphard-problems

MaxCut: Open-Source Maximum Cut Problem Solver

MaxCut is an open-source software for solving the maximum cut problem on graphs. It implements cutting-edge algorithms and techniques to find the partition of a graph's nodes into two sets that maximizes the number of edges between the sets.

What is MaxCut?

MaxCut is an open-source software package for solving the maximum cut problem on graphs. The maximum cut problem aims to partition the nodes of a graph into two sets such that the number of edges between the two sets is maximized.

MaxCut implements several state-of-the-art exact and heuristic algorithms for the maximum cut problem, including branch-and-cut, semidefinite programming relaxations, maxflow-based methods, evolutionary algorithms, and local search heuristics. It is designed to handle large sparse graphs efficiently.

Some of the key features and capabilities of MaxCut include:

  • Support for reading graphs from various file formats like DIMACS, Matrix Market, etc.
  • Parallelized implementations of algorithms to leverage multi-core machines
  • Customizable parameters for algorithms to balance optimality and running time
  • Detailed logging and statistics gathering on algorithm performance
  • Scripting interface for automated solving of multiple problem instances

MaxCut can serve as an efficient toolkit for researchers and developers aiming to solve the maximum cut problem on graphs arising in applications like VLSI layout, statistical physics, clustering, and bioinformatics. Its open-source nature also allows advanced users to extend and customize the implementation if needed.

MaxCut Features

Features

  1. Implements advanced graph partitioning algorithms
  2. Supports weighted and unweighted graphs
  3. Provides both serial and parallel implementations
  4. Includes implementations of state-of-the-art max-cut heuristics
  5. Can handle large graphs with millions of nodes and edges
  6. Offers a simple interface to load graphs and solve max-cut
  7. Provides detailed statistics on cut quality and runtime

Pricing

  • Open Source

Pros

Powerful and efficient max-cut algorithms

Handles large real-world graphs

Parallel support speeds up computations

Actively maintained open-source project

Easy to use with good documentation

Cons

Limited to only solving max-cut, not other graph problems

Requires knowledge of graph theory concepts

Not many example graphs included

User interface is command-line only


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