Suppose G is a connected graph with n > 1 vertices and n –1 edges. Prove that G has a vertex of degree 1.
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
Problem 80EQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F282904df-64d2-44b1-a59e-7b2a86d0de90%2F555a6886-7f01-4cad-9b69-9fd11ff9c2e1%2Fedxynoh_processed.jpeg&w=3840&q=75)
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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