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What guidelines should you follow when adding graphics to your presentations?

They should be used to make a bad presentation better.
Graphics should appear on each slide.
Graphics should only be used when they improve the communication.
Their size should be appropriate for viewing by your audience.
They should be relevant and appropriate to the content.

In many applications, only a small percentage of the points in a given set p of n points are extreme. in such a case, the convex hull of p has less than n vertices. this can actually make our algorithm convexhull run faster than θ(nlogn). assume, for instance, that the expected number of extreme points in a random sample of p of size r is o(rα ), for some constant α < 1. (this is true when the set p has been created by picking points uniformly at random in a ball.) prove that under this condition, the running time of the algorithm is o(n).