Question

Define a minimally connected graph.​

Answer 1

Answer:

Definition: A graph is said to be minimally connected if removal of any one edge from it disconnects the graph. Clearly, a minimally connected graph has no cycles. Here is the next characterisation of trees. Theorem 4.4 A graph is a tree if and only if it is minimally connected.

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Answer 2

Answer:

A graph is said to be minimally connected if removal of any one edge from it disconnects the graph. Clearly, a minimally connected graph has no cycles.

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