Problem

A problem that challenged mathematicians for many years concerns the coloring of maps. Tha...

A problem that challenged mathematicians for many years concerns the coloring of maps. That is, what is the minimum number of colors necessary to color any map? In 1976, mathematicians finally proved, with the aid of a computer, that no map requires more than four colors. Determine the smallest number of colors necessary to color each map shown, (note:Two “countries” that share only one point can be colored the same color, but if they have more than one point in common, they must be colored differently.)

a.


b.


c.

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