The graph to the right represents a map of the states Colorado, Kansas, Oklahoma, Texas, and Arkansas. Two vertices are joined by an edge of and only if the states share a common border. Find the smallest number of colors that can be used to color the map so that any two states sharing a stretch of common border are not colored with the same color.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

now i kniw my abcs next time wont u sing with me