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  3. let kn denote the simple graph on n vertices. (a)

Let Kn denote the simple graph on n vertices. (a) Let v be some vertex of...

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Advance Math

Let Kn denote the simple graph on n vertices.
(a) Let v be some vertex of Kn and consider K n −v, the graph obtained by deleting
v. Prove that K n − v is isomorphic to K n−1 .
(b) Use mathematical induction on n to prove the followingstatement:
K n , the complete graph on n vertices, hasn(n-1)/2
edges

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