The vertices of $G$ are colored with three colors in such a way that each vertex is adjacent to vertices colored with only one of the three colors. Show that $\chi(G)\neq3$. What does this say if $\chi(G) = 3$?
2026-05-01 12:54:22.1777640062
Chromatic Coloring Problem
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Hint: Recall that a graph is bipartite if and only if there are no odd cycles.
That's assuming the hypothesis was supposed to say properly colored. I guess the second question is just asking you to write the contrapositive of the statement?