Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
3rd Edition
ISBN: 9780134689555
Author: Edgar Goodaire, Michael Parmenter
Publisher: PEARSON
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Chapter 11, Problem 20RE
The following chart lists a number of tasks that must be completed for a crew of workers to construct a glynskz.
| Task | A | B | C | D | E | F | G | H | I | J |
| Time (in days) | 2 | 2 | 3 | 1 | 1 | 2 | 3 | 4 | 3 | 3 |
Task A must be carried out before any other tasks can commence. Task B must precede tasks E and F, and both E and F must be completed before H can begin. Tasks C and D must precede task G, which in turn must precede I. Task J must be carried out last. It is assumed that there are enough workers to carry out any number of tasks simultaneously.
What is the fewest number of days needed to construct this glynskz? Find all critical paths.
Find the slack in C, D and E.
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Chapter 11 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Ch. 11.1 - Prob. 1TFQCh. 11.1 - Prob. 2TFQCh. 11.1 - Prob. 3TFQCh. 11.1 - In a graph G with two odd vertices, 1 and 2 , the...Ch. 11.1 - If a graph G has six odd vertices, to solve the...Ch. 11.1 - Prob. 6TFQCh. 11.1 - Prob. 7TFQCh. 11.1 - In the weighted graph the Chinese Postman Problem...Ch. 11.1 - Prob. 9TFQCh. 11.1 - In the unweighted graph n, n odd, the Chinese...
Ch. 11.1 - Solve the Chinese Postman Problem for each of the...Ch. 11.1 - Prob. 2ECh. 11.1 - 3. [BB] Solve the Chinese Postman Problem for the...Ch. 11.1 - In a graph G with two odd vertices, 1 and 2 , the...Ch. 11.1 - Solve the Chinese Postman Problem for each of the...Ch. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Solve the Chinese Postman Problem for the weighted...Ch. 11.1 - Prob. 9ECh. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.2 - Prob. 1TFQCh. 11.2 - Prob. 2TFQCh. 11.2 - Prob. 3TFQCh. 11.2 - Prob. 4TFQCh. 11.2 - Prob. 5TFQCh. 11.2 - Prob. 6TFQCh. 11.2 - Prob. 7TFQCh. 11.2 - Prob. 8TFQCh. 11.2 - Prob. 9TFQCh. 11.2 - Prob. 10TFQCh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prove Theorem 11.2.4: A digraph is Eulerian if and...Ch. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - 13. Label the vertices of each pair of digraphs in...Ch. 11.2 - 14. Consider the digraphs , shown.
(a) Find the...Ch. 11.2 - The answers to exercises marked [BB] can be found...Ch. 11.2 - In each of the following cases, find a permutation...Ch. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - [BB] if a graph G is connected and some...Ch. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - [BB] Apply the original form of Dijkstras...Ch. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - [BB] The Bellman-Ford algorithm can be terminated...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.3 - Prob. 1TFQCh. 11.3 - Prob. 2TFQCh. 11.3 - Prob. 3TFQCh. 11.3 - Prob. 4TFQCh. 11.3 - Prob. 5TFQCh. 11.3 - Prob. 6TFQCh. 11.3 - Prob. 7TFQCh. 11.3 - Prob. 8TFQCh. 11.3 - Prob. 9TFQCh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.4 - Prob. 1TFQCh. 11.4 - Prob. 2TFQCh. 11.4 - Prob. 3TFQCh. 11.4 - Prob. 4TFQCh. 11.4 - Prob. 5TFQCh. 11.4 - Prob. 6TFQCh. 11.4 - Prob. 7TFQCh. 11.4 - Prob. 8TFQCh. 11.4 - Prob. 9TFQCh. 11.4 - Prob. 10TFQCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.5 - Prob. 1TFQCh. 11.5 - Prob. 2TFQCh. 11.5 - Prob. 3TFQCh. 11.5 - Prob. 4TFQCh. 11.5 - Prob. 5TFQCh. 11.5 - Prob. 6TFQCh. 11.5 - Prob. 7TFQCh. 11.5 - Prob. 8TFQCh. 11.5 - Prob. 9TFQCh. 11.5 - 10. In a type scheduling problem, a vertex that...Ch. 11.5 - Prob. 1ECh. 11.5 - [BB] The construction of a certain part in an...Ch. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - 6.(a) Find two different orientations on the edges...Ch. 11.5 - Prob. 7ECh. 11.5 - 8. Repeat Exercise 7 if, in addition to all the...Ch. 11.5 - Repeat Exercise 7 if A takes 6 months to complete...Ch. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - 17. The computer systems manager in mathematics...Ch. 11 - Solve the Chinese Postman Problem for the two...Ch. 11 - Prob. 2RECh. 11 - 3. Solve the Chinese Postman Problem for the...Ch. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - 11. Let and assume that the complete graph has...Ch. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Use a version of Dijkstras algorithm to find a...Ch. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - 20. The following chart lists a number of tasks...Ch. 11 - Prob. 21RE
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