2. Suppose G is a simple graph with n > 1 vertices such that every vertex has degree at least (n – 1)/2. Prove that G must be connected. (Hint: you may wish to prove this by induction on n).


2. Suppose G is a simple graph with n > 1 vertices such that every vertex has degree<br>at least (n – 1)/2. Prove that G must be connected.<br>(Hint: you may wish to prove this by induction on n).<br>

Extracted text: 2. Suppose G is a simple graph with n > 1 vertices such that every vertex has degree at least (n – 1)/2. Prove that G must be connected. (Hint: you may wish to prove this by induction on n).

Jun 04, 2022
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