How Does the Four Color Theorem Apply to Maps with Disconnected Regions?

[intelli]

can some one explain four color theorem with disconnected countries not enough colors to color entire map
i sort of understand this but disconnected countries is what i do not get

http://books.google.com/books?id=oG... color theorem disconnected countries&f=false

 

[LeonhardEuler]

Basically, what they mean is that the four color theorem only applies to maps that have all "countries" in one piece. If you allow disconnected countries, then you may need more than 4 colors, and the map given in that book is an example where you would need 5.

 

[Jamma]

I imagine there is no limit if you allow disconnected countries.

Let n be a natural number. Simple arrange all the n countries as "slices of pie" into circles in all the various combinations and orders. Then we will need n different colours to colour the map.