Let T = (V, E) be a tree with V > 3 and k > 2 teaves. Prove that we can add k – 1 edges to T to obtain a graph G that is 2-connected. (Hint start by explaining which k -1 edges to add. Then continue by proving G is 2-connected)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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d Let T = (V, E) be a tree with V> 3 and k> 2 teaves. Prove that we can add k - 1 edges to T to
obtain a graph G that is 2-connected.
(Hint start by explaining which k - 1 edges to add. Then continue by proving G is 2-connected)
Transcribed Image Text:d Let T = (V, E) be a tree with V> 3 and k> 2 teaves. Prove that we can add k - 1 edges to T to obtain a graph G that is 2-connected. (Hint start by explaining which k - 1 edges to add. Then continue by proving G is 2-connected)
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