Determine, with justification, whether the graph $G$ below is nonplanar.
I'm not sure whether the graph is planar. I can't really see how to find a planar embedding for it, despite having attempted to draw it with no edges crossing.
2026-03-29 08:35:30.1774773330
determining whether a graph on $8$ vertices is nonplanar
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Your graph is indeed planar, as shown here: