Tag Archives: Fullerene

Four color theorem: simplified maps and fullerenes (answer)


After having posted the question on mathoverflow, the answer arrived in a blink of an eye. Here is the answer from Gordon Royle: Use Gunnar Brinkmann (University of Ghent) and Brendan McKay (Australian National University)’s program “plantri” … You will … Continue reading

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Four color theorem: simplified maps and fullerenes


Analyzing all 3-regular graphs that have only faces with 5 edges or more (simplified), I empirically found (using a computer program) that many hypothetically possible graphs, that by Euler’s identity may exist (), do not actually exist. Using a VF2 algorithm to filter out … Continue reading

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