2.9.1 Coloring Video
PROFESSOR: Graph coloring is the abstract version of a problem that arises from a bunch of conflict scheduling situations. So let's look at an example first and then define the problem. So let's think about a bunch of aircraft that have to be scheduled on the ground at jet ports or gates. Now, if two flights are on the ground at the same time, they need to be assigned to different gates since a gate serves one airplane. And what we'd like to do is try to figure out how many different gates do we need to be able to service all the planes that might be on the ground. How many gates are needed? So let's look at a sample schedule. There are six slides here numbered 122, 145, through 99. And the horizontal bar is, say, times during the day. And this blue block indicates that flight 122 is on the ground from, let's say, 3:00 AM to 7:00 AM, and flight 145 is on the ground at a completely disjoint time interval. So is 67. 257 is on the ground from midnight unt...