[comp.sys.amiga.tech] Clicking on Irregular Shape

CIS@S41.Prime.COM (07/11/89)

Indeed.  What makes the geo map of the US not a mathematical map?  There is
an isomorphism between any geo map and a mathematical graph:

states -> nodes
borders -> arcs (or edges, depending on which textbook you read)

It is not a complete graph, though, because no arc exists connecting Hawaii to
the lower 48  or Alaska to the lower 48.  No assumption is made about the
shape of the units to be colored in a mathematical map, so there goes a
particular argument there (against the US map being a mathematical map).

Try it some time.  I think that you'll find that the US map is a
mathematical map.

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