Consider the following statements:

(A) Any tree is 2-colorable

(B) A graph G has no cycles of even length if it is bipartite.

(C) A graph G is 2-colorable if is bipartite

(D) A graph G can be colored with d + 1 colors if d is the maximum degree of any vertex in the graph G.

(E) A graph G can be colored with O(log |v|) colors if it has O(|v|) edges.

Choose the correct answer from the options given below:

1
(C) and (E) are incorrect
2
(B) and (C) are incorrect
3
(B) and (E) are incorrect
4
(A) and (D) are incorrect

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