Note 6, DM819, fall 2018

Exercises October 8

• Exercises 5.1, 5.3, 5.5 (ab), 5.8, 5.10, 5.13.
• Devise a method for building a red-black tree in linear time from a sorted sequence of n different keys. The tree should be external (also called leaf-oriented), i.e., all keys should be placed in the leaves and internal nodes hold copies of the keys directing searches to the correct locations. One potential difficulty in this problem is that not all trees have a form such that a red-black tree can be created by coloring nodes red or black.

Lecture October 9

• Voronoi Diagrams (sections 7.0 - 7.2).