SOLUTION: Create a graph with five vertices, no bridge, and a loop.

Question 199477: Create a graph with five vertices, no bridge, and a loop.
Found 2 solutions by rfer, jim_thompson5910:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
remember the lead x will be to the 6th degree
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with five randomly drawn points. These are the vertices

Now simply connect every vertex with a line. Make sure that EVERY point has two lines connecting to it (so a bridge doesn't form). In addition to connecting every vertex, draw a line from any one vertex to itself to form a loop (in green):

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