File:Sulanke Earth-Moon map.svg

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Summary

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English: Thom Sulanke's 9-color example for Ringel's Earth–Moon problem. The problem concerns coloring a map of the Earth and Moon, subdivided into countries on the Earth with corresponding colonies on the Moon, so that each country has the same color as its colony and no two neighboring countries or colonies have the same color. Sulanke constructed this example of a map requiring nine colors, publicized by Martin Gardner in 1980. The graph representing the adjacencies between countries and colonies (center) is the join of a 6-vertex complete graph (top) and a 5-vertex cycle graph (bottom). All six vertices of the complete graph must have distinct colors, and an additional three colors are needed for the cycle.
Date
Source Own work
Author David Eppstein

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Thom Sulanke's 9-color example for Ringel's Earth–Moon problem

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6 January 2023

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Date/TimeThumbnailDimensionsUserComment
current00:32, 7 January 2023Thumbnail for version as of 00:32, 7 January 20231,809 × 720 (5 KB)David EppsteinUploaded own work with UploadWizard
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