Question
Prove that the chromatic polynomial of a cycle graph $C_{n}$ equals$$(k-1)^{n}+(-1)^{n}(k-1)$$
Step 1
Step 1: Recall the definition of the chromatic polynomial \( P(C_n, k) \) of a graph \( G \), which counts the number of ways to color the vertices of \( G \) using \( k \) colors such that no two adjacent vertices share the same color. Show more…
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