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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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