There exists a self-complementary graph on 2023 vertices. True of false? Justify your answer.

The statement is true. A self-complementary graph is a graph that is isomorphic to its complement. The complement of a graph \( G \) with \( n \) vertices is obtained by connecting vertices that are ________ _________ ____ ______ ____ __________ _________ ______ _________ ___.
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