Question: 1. Figure shows an actual street intersection. Create a graph and properly vertex-color it to find the smallest number of patterns needed in the traffic light cycle. You will have at least one low-degree vertex. How is this useful in terms of traffic flow?
![6_7.jpg](https://secure.tutorsglobe.com/CMSImages/6_7.jpg)
2. Let n be an integer. Is it always true that the difference between two consecutive cubes is never even? Explain.