Page 4, Definition 1, "a undirected" => "an undirected".
Page 5, the last 7th line, "Therefor" => "Therefore"
Page 8, the 6th line, "define define" => "define"
Page 15, the last line, "to proving" => "to prove"
Page 16, the equation 17, should add the cardinality symbol.
From May 16th:
Page 17, the first line of proof Proposition 5, "is equal to 2" => "is equal to 1"
Page 38, Equation 54, " 1 - \theta " => " \theta - 1 "
Page 38, First line of Proof for Lemma 7: should be "X_i = 1, \sigma_i = -1"
Page 7, Line 12 B_i should equal to B_i(G)
Page 33, for the equation on the second last line, right parenthesis is missing
Page 41, below Equation (57), the expression of
Page 45, the last 4 line: the distribution of
Page 32, Line 13, $ | G \in G_1 $ => $ ) | G \in G_1 $
Page 32, Line 2, both B_i and B_j have
Page 3, Definition 1, "a undirected graph" => "an undrected graph"
Page 36, Line 5,
Page 36, The 5-th line from bottom, missing the right bracket in the equation
Page 37, The 4-th line before Proposition 12, dist(sigma, X)=... => T_+ = Theta(n^g(u\beta))
- last line on Page 6, thrid line on Page 7: a sharp transition
- line 6, 8,9,10 on Page 30: X_i should not have the supscript
$(j)$ - Page 6, 10 lines above Section A, "each sample only take"
- Page 30, line 14 from the bottom, why the expression of C has
$\alpha$