Question: Given an undirected graph G = ( V , E ) , consider Gc = ( V , Ec ) defined as follows: ( u

Given an undirected graph G =(V, E), consider Gc =(V, Ec) defined as follows: (u, v) in
Ec iff (u, v) in E. That is, Gc is the graph complement of G.
Show that for any undirected graph G, either G or Gc is connected.

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