If G is a simple graph then G*
, the complement of G is the simple graph defined to be as
follows, V(G*) = V(G), and the vertices u and v in G* are connected
if and only if they are
not connected in G. If G is a graph with V(G) = {v1, v2, v3, v4},
E(G) = {e1, e2, e3, e4} suchthat the endpoints of e1 are {v1, v2},
the endpoints of e2 are {v1, v4}, the endpoints of e3 are
{v4, v2}and the endpoints of e4 are {v1, v3}. Draw G*.
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