Suppose G is a connected graph with n > 1 vertices and n –1 edges. Prove that G has a vertex of degree 1.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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Suppose G is a connected graph with n > 1 vertices and n – 1 edges.
Prove that G has a vertex of degree 1.
Transcribed Image Text:Suppose G is a connected graph with n > 1 vertices and n – 1 edges. Prove that G has a vertex of degree 1.
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