Homework 7

Comments

• Most problems are found in one of the following:
  1. ADM: The Algorithm Design Manual
  2. IDMA: An Introduction to Discrete Mathematics and Algorithms
• For full credit, provide context for each problem, show all calculations, and justify all answers by providing enough comments to explain your reasoning.
• You will lose a significant amount of credit if you do not provide context, calculations, and justifications for a problem.
• Numbers and/or algebra by themselves are not enough. A correct answer with no justification will be worth no more than half credit, and sometimes much less than that.
• Precision is very important. You cannot skip steps, make guesses, or use flawed logic. Any of these things can lead to incorrect answers.
• Homework assignments must be very neatly written or typeset (e.g. using Word or OpenOffice).
• NEW! If you want to learn LaTeX, see the LaTeX section of Writing Notes for a sample LaTeX document. The machines in the lab have TexWorks installed. You may have to ask around to figure out how to compile a file the first time.
• You must indicate any assistance/collaboration you had on an assignment as specified on the Policies page.
• NEW! If a problem asks for an algorithm, you should give the most efficient algorithm you can find to ensure full credit. You should also specify the complexity of the algorithm with justification, whether or not the problem asks for it.

Details

The following problems are from pages 184-189 of ADM

Problem	Notes
5-1	Show your work. In particular, details about the BFS/DFS tree should be given (e.g. parent pointers or the tree drawn on the graph) along with any relevant numbers (e.g. distances and/or timestamps). Essentially, show enough to demonstrate that you actually followed the algorithms.
5-3	This problem is talking about acyclic graphs, not rooted trees.
5-21	Explain the idea behind your algorithm and justify its complexity. If you use BFS, specify what additional data you need to keep track of and what to do in one or more of the "process" methods of BFS. You will implement this algorithm for Homework 9. Feel free to do so now as a way of testing your algorithm.