How do you draw the Petersen graph in LaTeX?

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Mandelbroth
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How would one construct a graph, like the Petersen graph, in LaTeX? Is there a good package to use for it?

Edit: I should mention that I'm having trouble using instructions (which are not always consistent) that I'm finding on Google.
 
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I like gnuplot. It provides a number of terminal settings aimed specifically at TeX / LaTeX. The graphs can be made to look very professional (c.f. Excel and Matlab, which excel in producing overly glitzy, non-professional graphs).