Suppose G is a simple undirected graph with n vertices. If G is self-complementary, prove that either n = 4t or n = 4t +1 for some t e Z+.
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Please show step by step explanations. Thank you.
Let G be a self-complementary graph with n vertices, for n vertices their are possible edges, as G is assumed self-complimentary, it follows the number of edges of G and its compliment are equal, so the edges in G must be given by , hence must be even.
Let e be number of edges in G then,
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