Answered: 5. Let G be a graph with n vertices, t…

5. Let G be a graph with n vertices, t of which have degree k and the others have degree k+1. Prove that t = (k+1)n– 2e, where e is the number of edges in G.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.3: Logarithmic Functions And Their Graphs

Problem 137E

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16. Let G be a graph with n vertices, t of which have degree k and the others have degree
k+1. Prove that t = (k+1)n- 2e, where e is the number of edges in G.

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