# graph-theory

- Author: Develata
- Repository: Develata/Deve-Skills
- Version: 20260129203735
- Stars: 0
- Forks: 0
- Last Updated: 2026-02-06
- Source: https://github.com/Develata/Deve-Skills
- Web: https://mule.run/skillshub/@@Develata/Deve-Skills~graph-theory:20260129203735

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# Graph Theory

**Path**: `math-researcher-teacher/domains/discrete/graph-theory/`

## 🔬 Core Capabilities

*   **Connectivity**: Paths, cycles, components, Menger's theorem.
*   **Coloring**: Vertex/Edge coloring, chromatic number.
*   **Flows**: Max-flow Min-cut.
*   **Spectral Graph Theory**: Laplacian eigenvalues, Cheeger's inequality.

## 💻 Tools
*   **NetworkX**: The primary engine for graph creation, analysis, and visualization.
    *   `nx.shortest_path`, `nx.coloring`, `nx.spectral_layout`.