Let G be a connected graph with n vertices and m edges. Which of the following statements are true? (i) G is a tree if and only if n = m+1. (ii) G is a tree if and only if m =n+1. (iii) G is a tree if...

Let G be a connected graph with n vertices and m edges.<br>Which of the following statements are true?<br>(i) G is a tree if and only if n = m+1.<br>(ii) G is a tree if and only if m =n+1.<br>(iii) G is a tree if and only if the addition of any edge<br>to G will produce a unique cycle<br>

Extracted text: Let G be a connected graph with n vertices and m edges. Which of the following statements are true? (i) G is a tree if and only if n = m+1. (ii) G is a tree if and only if m =n+1. (iii) G is a tree if and only if the addition of any edge to G will produce a unique cycle

Jun 02, 2022

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Let G be a connected graph with n vertices and m edges. Which of the following statements are true? (i) G is a tree if and only if n = m+1. (ii) G is a tree if and only if m =n+1. (iii) G is a tree if...

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