Determine the number of coloring of the circuit $C_7$ with x colors so that no adjacent vertices have identical colors.

Question

Determine the number of coloring of the circuit $C_7$ with x colors so that no adjacent vertices have identical colors.

I'm quite unsure what it means by circuit of $C_7$ Is it just a septagon?

Answer 1

$C_7$ is a cycle graph with 7 vertices (and so also 7 edges).

So yes, a heptagon.