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In all parts of this question, all graphs are loop-free and undirected. Draw a 3-regular graph on 10 vertices. (b)Show that it is not possible to have a 5- regular graph on 15 vertices. If G is a self-complementary graph on n vertices, how many edges must G have? (Justify your answer.)

In all parts of this question, all graphs are loop-free and undirected. Draw a 3-regular graph on 10 vertices. (b)Show that it is not possible to have a 5- regular graph on 15 vertices. If G is a self-complementary graph on n vertices, how many edges must G have? (Justify your answer.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In all parts of this question, all graphs are loop-free and undirected. Draw a 3-regular graph on 10 vertices. (b)Show that it is not possible to have a 5- regular graph on 15 vertices. If G is a self-complementary graph on n vertices, how many edges must G have? (Justify your answer.)
Transcribed Image Text:In all parts of this question, all graphs are loop-free and undirected. Draw a 3-regular graph on 10 vertices. (b)Show that it is not possible to have a 5- regular graph on 15 vertices. If G is a self-complementary graph on n vertices, how many edges must G have? (Justify your answer.)
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