Question: A tree is a connected graph with no cycles, for example: Two interesting properties of trees are that they are maximally acyclic and minimally connected.

A tree is a connected graph with no cycles, for example:
Two interesting properties of trees are that they are maximally acyclic and minimally connected.
A graph is maximally acyclic if it has no cycles, but adding any edge to the graph creates a cycle.
A graph is minimally connected if it is connected, but removing any edge from the graph causes it to become
disconnected.
It can be proven that these two properties are equivalent, that is, a graph is maximally acyclic if and only if it is
minimally connected.
Complete either direction of the proof

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