http://demonstrations.wolfram.com/AGraphTheoryInterpretationOfTheSumOfTheFirs...
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A complete graph on n+1 vertices has (GridBox[{{RowBox[{n, +, 1}]}, {2}}]) edges. This number is also the sum of the first n integers, as shown here: the complete graphs are built up by adding one vertex at a time, and the colors show that the (n + 1)^t...
Contributed by: Aaron Dunigan AtLee After work by: J. DeMaio and J. Tyson (see citation above)
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