Let G be a simple graph with 20 vertices. Suppose that G h ponents, and every pair of distinct vertices u and v satisfies

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Can someone provide the proof for this? TIA

Let G be a simple graph with 20 vertices. Suppose that G has at most two com-
ponents, and every pair of distinct vertices u and v satisfies the inequality that
deg(u) + deg(v) > 19. Prove that G is connected.
Transcribed Image Text:Let G be a simple graph with 20 vertices. Suppose that G has at most two com- ponents, and every pair of distinct vertices u and v satisfies the inequality that deg(u) + deg(v) > 19. Prove that G is connected.
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