Discrete Mathematics for Computer Science

Chapter Review 417 2. Prim's Algorithm for MCST: Carry out the following procedure for the graph shown in Figure 6.34 in Section ...

418 CHAPTER 6 Graph Theory cost. Repeat the procedure if there must be a data link between branches 2 and 5. Repeat the procedur ...

Chapter Review 419 (Another very important feature is how many "bottlenecks" there are in a graph. For example, in the tree, all ...

420 CHAPTER 6 Graph Theory Recall the discussion of satisfiability in propositional logic from Chapter 2 in Section 2.3.1. One ...

Cm APT min lR Counting and Combinatorics How many passwords can be formed using five letters and two special characters? How lon ...

422 CHAPTER 7 Counting and Combinatorics basis. Between each pair of cities, air service is available. The problem is to schedul ...

Counting Principles 423 city is designated as the starting point for all routes. There are n - 1 cities that remain to be visite ...

424 CHAPTER 7 Counting and Combinatorics a microcomputer, the customer must choose an appropriate software package, which can be ...

Counting Principles 425 sections. Any combination of lecture, lab, and problem session is possible. How many different ways can ...

426 CHAPTER 7 Counting and Combinatorics independently of whether any other line segment is on or off, the Multiplication Princi ...

Counting Principles 427 Hourly 1 Full Service 1 Hourly Full Service 2 Full Service 3 Figure 7.4 Set representation of choices. T ...

428 CHAPTER 7 Counting and Combinatorics 9 of Clubods 1Jack of Diamonds 5 of Clubs 9 of Dia ds JkQueen of Diamonds 4 of Clubs 9o ...

Set Decomposition Principle 429 Final Result: (# Choices) = (# Choices for subproblem 1) + (# Choices subproblem 2) + (# Choices ...

430 CHAPTER 7 Counting and Combinatorics = 6.6-6.6.6 = 7776 (# 1-1 functions) (# Possible images of a) • (# Possible images of b ...

Set Decomposition Principle 431 Example 10. Suppose a group of vacationers is split into 159 teams. How many leagues must be for ...

432 CHAPTER 7 Counting and Combinatorics Once the number of possibilities is known for a particular license plate scheme, it can ...

Exercises 433 If we use the rate estimate for crypt operations of 200,000 per second, then it would take about 15,385,647 second ...

434 CHAPTER^7 Counting and Combinatorics A palindrome is a string that reads the same forward and as it reads backward. An exam ...

Exercises 435 A survey asks the respondent to order by importance 10 properties of a car. How many orderings are possible? How ...

436 CHAPTER 7 Counting and Combinatorics U Permutations and Combinations In scientific experiments used to determine how well se ...