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):
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):