Suppose that we have a graph with at least two vertices. Show that it is not possible that all vertices have different degrees.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 29E: Based on the result in Exercise 26, describe the graph of the equation x2+y2=16.
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Suppose that we have a graph with at least two vertices. Show that it is not possible that all
vertices have different degrees.
Transcribed Image Text:Suppose that we have a graph with at least two vertices. Show that it is not possible that all vertices have different degrees.
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