I am reading an article about graphs in English. Does $\chi(Tree)\leq 2$ mean that each node has no more then $2$ children?
2026-03-30 07:06:21.1774854381
What does $ \chi(Tree)\leq 2 $ mean in graph theory?
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Let G be a graph. The symbol $\chi(G)$ usually denotes the chromatic number of G, that is, the minimum number of colors required to color the vertices of G in such a way that no two adjacent vertices share the same color.
It's easy to see that, if G is a tree, then it can be colored with at most two colors, therefore $\chi(\text{Tree}) \le 2$.