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Edge coloring of the cubeI didn't know exactly which forum branch to choose for this problem: We have a cube and we are coloring its edges. There are three colors available. We say that the two colorings are the same if one can obtain a second by turning cube and permuting colors. Find the number of different colorings. Any ideas? |

Re: Edge coloring of the cubeHi, I think that you could find ideas in Polya's 1937 paper, which was reprinted as a book. Here is the reference : G. Pólya; R. C. Read (1987). Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds. New York: Springer-Verlag. ISBN 0-387-96413-4. MR0884155 |

Re: Edge coloring of the cubethe solution is there : http://en.wikipedia.org/wiki/P%C3%B3lya ... on_theorem up to the permutations of colors |

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