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Chromatic number of planar regular graphs of degree 4 and 5

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Asja

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Feb 2, 2012, 8:53:42 PM2/2/12
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Are there any theorems regarding the chromatic number of planar
regular graphs of degree 4 and 5 that do not rely on the 4CC? Please
provide a reference if possible. Thanks.

1treePetrifiedForestLane

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Feb 2, 2012, 9:21:38 PM2/2/12
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not as far as I know (nAFAiK), but that's not hing. anyway,
as far as I can say (AFAiCS),
the only reason that the 4cc was converted
into graph-form (or
just the geometrical dualof the mapping problemma),
was that of saving the cost of hand-coloring
the notional maps.
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