Question: Problem 2. Tree Properties. Prove that the following definitions are all equivalent: a) A tree is a connected graph with at most V -1 edges.

Problem 2. Tree Properties. Prove that the following definitions are all

Problem 2. Tree Properties. Prove that the following definitions are all equivalent: a) A tree is a connected graph with at most V -1 edges. b) A tree is an acyclic graph with at least V 1 edges. c) A tree is a maximally acyclic graph: adding an edge between any two vertices creates a cycle. d) A tree is a graph that contains a unique path between each pair of vertices

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