break this question down and explain why the answers is this

IV. (12 points) Use the Welch-Powell Algarithm to eolor the following graph. This is the al parithm wo leatned in clase. No credit will be zoves if anotict First coloc the graph using RED, then GRKEN, then BLUE, followed by YEL.LOW and BL.ACK, and GRUY, if needed. If the algorilm gives you a choice of sevend nodes in pick from at a given step, then pick the ocdes in alphabetical onder as we did is class. YOU MUST SHOW YOUR WORK