Given the following graph $G$:
How can I prove that each cycle in $G$ has a minimum length of $5$?
2026-03-27 19:33:25.1774640005
Prove that each closed cycle in $G$ has a minimum length of $5$.
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Draw the graph in a way that makes its symmetries more visible, like so:
Then solve the problem "by inspection", distinguishing cases: cycles passing through the red point or not, cycles containing $0$, $1$, or more blue points, etc.