can a graph with 5 vertices each of degree three be drawn If

can a graph with 5 vertices each of degree three be drawn? If not explain why

can a graph with 5 vertices each of degree three be drawn? If not explain why

can a graph with 5 vertices each of degree three be drawn? If not explain why

Solution

Solution :

No such graph exists by the Handshaking Lemma. Every edge adds 2 to the sum of the degrees. Consequently, the sum of the degrees must be even.

 can a graph with 5 vertices each of degree three be drawn? If not explain why can a graph with 5 vertices each of degree three be drawn? If not explain why can

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