On the 4-color theorem for signed graphs
classification
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keywords
graphssignedcolorfourtheoremajovalwayscoloring
read the original abstract
There are several ways to generalize graph coloring to signed graphs. M\'a\v{c}ajov\'a, Raspaud and \v{S}koviera introduced one of them and conjectured that in this setting, for signed planar graphs four colors are always enough, generalising thereby The Four Color Theorem. We disprove the conjecture.
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