York University - CSE 3101 - Summer 2006 Phuong Nguyen Summary of Lecture 6: 1. Solution to the test. 2. Prove the correctness of the Activity Scheduling Problem. The proof is by showing that every partial solution S_i is "promising". Here S_i is promising if it can be extended to an optimal solution using activities only from {A_{i+1}, ..., A_n}. 3. Graph theory terminologies. Introduced the Minimum Spanning Tree Problem. References: See discussion of the Activity Selection Problem in Section 16.1. See also Section 16.2. For MST see Chapter 23.