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Prove that any graph with at least two vertices must have two vertices of the same degree.

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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Discrete Maths Oscar Levin 3rd eddition 4.1.15:

Prove that any graph with at least two vertices must have two vertices of the same degree.

ps: I'd be so glad if you include every detail of the solution.

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