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

Let K_n denote the simple graph on n vertices.
(a) Let v be some vertex of K_n 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 following statement:
K _n , the complete graph on n vertices, has n(n-1)/2
edges

Expert Solution

Colby Messinger answered 1 year ago

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