
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let r be a natural number. An r-regular graph is a graph in which all vertices have degree r.
Assume that r is odd. Prove that if there exists an r-regular graph with n vertices, then n is even and n >= r+1.
Show your work and complete the proof.
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