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In K-coloring of an undirected graph $G=(V,E)$ is a function. $c: V \rightarrow \{0,1, \dots , K-1 \}$ such that $c(u) \neq c(v)$ for every edge $(u,v) \in E$.

Which of the following is not correct?

  1. $G$ is bipartite
  2. $G$ is $2$-colorable
  3. $G$ has cycles of odd length
  4. $G$ has no cycles of odd length
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