Let G be a graph. Prove that if G has a closed walk of odd length, that the vertices and edges of the walk contain a cycle.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 36EQ
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Let G be a graph. Prove that if G has a closed walk of odd length, that the vertices and edges of the walk contain a cycle. 

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