Given the graph is a K5.
Are all its subgraphs planar? A visual analysis tells me so, but then again I don't know if there's any mathematical way to proof this.
2026-03-26 07:58:47.1774511927
Are all the subgraphs of K5 planar?
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Let $G$ be the graph that results when you delete one edge from $K_5$; every proper subgraph of $K_5$ is a subgraph of $G$, and you can exhibit an embedding of $G$ in the plane, so all proper subgraphs of $K_5$ must be planar.