C6000 Fullerene: a playground for the Four Color Theorem coloring algorithm


On this great website https://networks.skewed.de/net/fullerene_structures, you can view and download fullerene structures in various formats.

Fullerenes are a perfect playground to test my four color algorithm.

I used the C6000 fullerene. 6000 atoms! A fullerene is an allotrope of carbon. Its molecules consist of carbon atoms connected by single and double bonds. A perfect 3-regular planar graphs ready to be tested.

And this is the four colored version you can play with, created using:

# python3 4ct.py -p planar_inputs/C6000.planar -c 2354 -o C6000

Actually, it is the Tait edge three colored version of the graph. This is equivalent to the four colored version of the faces.

This zip file includes the C6000.dot + C6000.edgelist files.

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See you around!

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