bennettchrisea6403 GitHub avatar

4ct-four-color-theorem

bennettchrisea6403

4CT is an interactive web application for exploring a constructive approach to the Four Color Theorem, letting users step through graph coloring and topology modifications in the browser.

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9

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License

GPL-3.0

Last updated

2026-07-31

AI repository intelligence
FR-AI / ANALYSIS

Why it is worth attention

It turns the Four Color Theorem into a hands-on visual demonstration, including topology changes for three-color optimization, which makes abstract graph theory concepts more accessible.

Who it is for

  • Students learning graph theory
  • Educators teaching planar graphs or graph coloring
  • Graph theory enthusiasts
  • People interested in constructive mathematics

Use cases

  • Classroom demonstrations of a four-coloring algorithm
  • Self-study exploration of planar graph coloring
  • Visualizing topology modifications for three-color optimization
  • Step-by-step examination of a constructive coloring method

Strengths

  • No installation is required; a hosted web build is available and local copies can be served as static files
  • Provides an interactive, step-by-step coloring algorithm demonstration
  • Combines graph theory and topology in a visual, educational format
  • Includes clear guidance on usage, local serving, and project scope

Considerations

  • Does not present a formal proof of the Four Color Theorem
  • No user customization options or configuration controls are described
  • Local use requires a static web server and a modern browser

README quick start

Getting Started

Description

4CT is an interactive web application for studying a constructive approach to the Four Color Theorem and exploring how planar graphs can be altered for three-color optimization.

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