How do I mathematically prove "Radius in a tree is not necessarily half it's diameter"? Even though there are examples that justify this but is there a mathematical proof for this?
2026-03-29 07:21:14.1774768874
Radius and Diameter Tree Proof
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"Suppose the radius is always half the diameter" is an invitation for a counterexample. I would restate the definitions and follow with a note stating that the radius is not necessarily half the diameter. Use an example to illustrate -- a path of length 3 perhaps.