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(a) We say that the distinct vertices (i, j, k) form a triangle when the edges ij, jk and ki all exist. Note that (i,
(a) We say that the distinct vertices (i, j, k) form a triangle when the edges ij, jk and ki all exist. Note that (i, j, k) is the same triangle as (i, k, j) and as any other permutation. Compute the expected number of triangles in Gn,p. (b) We say that the distinct vertices (i, j, k, l) form a square when the edges ij, jk, kl and li all exist. Note that the squares (i, j, k, l) and (i, k, j, l) are different. Compute the expected number of squares in Gn,p.
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