Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 42E
Find the MaxST of the network shown in Fig. 7-39 using Kruskal's algorithm, and give its weight.
Figure-39
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Chapter 7 Solutions
Excursions in Modern Mathematics (9th Edition)
Ch. 7 - A computer lab has seven computers labeled A...Ch. 7 - The following is a list of the electrical power...Ch. 7 - Consider the network shown in Fig.720_. a. How...Ch. 7 - Consider the network shown in Fig.721_. a. How...Ch. 7 - Consider once again the network shown in. Fig720_....Ch. 7 - Consider once again the network shown in. Fig721_....Ch. 7 - Consider the network shown in. Fig722. This is the...Ch. 7 - Consider the network shown in. Fig723_. This is...Ch. 7 - Consider the tree shown in. Fig724_. a. How many...Ch. 7 - Consider the tree shown in. Fig725. a. How many...
Ch. 7 - In Exercises 11 through 24 you are given...Ch. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - In Exercises 11 through 24 you are given...Ch. 7 - Prob. 16ECh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - In Exercises 11 through 24 you are given...Ch. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Consider the network shown in Fig.727_. a. Find a...Ch. 7 - Prob. 27ECh. 7 - Consider the network shown in Fig.729_. a. Find a...Ch. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - The 4 by 5 grid shown in Fig. 7-37 represents a...Ch. 7 - Prob. 37ECh. 7 - Find the MST of the network shown in Fig. 7-39...Ch. 7 - Find the MST of the network shown in Fig. 7-40...Ch. 7 - Find the MST of the network shown in Fig. 7-41...Ch. 7 - Prob. 41ECh. 7 - Find the MaxST of the network shown in Fig. 7-39...Ch. 7 - Find the MaxST of the network shown in Fig. 7-40...Ch. 7 - Prob. 44ECh. 7 - The mileage chart in Fig. 742 shows the distances...Ch. 7 - Figure 7-43a shows a network of roads connecting...Ch. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - This exercise refers to weighted networks where...Ch. 7 - Prob. 51ECh. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - Prob. 55ECh. 7 - Prob. 56ECh. 7 - A bipartite graph is a graph with the property...Ch. 7 - Prob. 58ECh. 7 - Prob. 59E
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- Explain the step by step procedure of Dijktra’s algorithm to find the shortest path between any two vertices?arrow_forwardCLO4: Study the below undirected graph and answer the question following it. 10 1- Apply Kruskal's algorithm to find the table that represents the Minimum Spanning Tree (MST). (1arrow_forwardVw QUESTION 10 9. Please use the graph below to show that Dijkstra's algorithm cannot be used if the graph has negative edges. Source = A 3. 1. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Paragraph 10pt Arial 田国 出田回 BIUSarrow_forward
- Use the shortest path algorithm to find a shortest st-path in the following graph. The number on each edge indicates its length.arrow_forwardInformation about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d = x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6. 6.71 6.21 0.50 7 4.61 5.95 -1.34 8 3.87 3.07 0.80 9. 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14arrow_forwardWhich of the following is not true about Kruskal's algorithm? Arrange the edges based on their weights Avoid loops Identify the edges and their weight The created edges is equal to the number of verticesarrow_forward
- Solve the shortest path problems shown in the attached picture by hand using the original implementation of Dijkstra's algorithm. Count the number of distance updates, provide the shortest path solution and the hand-drawn trees of shortest paths for (a) and (b).arrow_forwardConsider the graph below. How many total tables will there be for the Distance Vector algorithm and what will the size of the table be for Node E? b 5 12 10 d f 5 7 tables and Node E's table is 5x7 4 tables and Node E's table is 7x7 8 tables and Node E's table is 7x7 4 tables and Node E's table is 4x7 16 8arrow_forwardHow would I use the Extended Euclidean Algorithm to express this gcd as a linear combination? I found the gcd of (14,203) is 7. gcd(14, 203)arrow_forward
- The following table presents the implementation of Dijkstra's algorithm on the evaluated graph G with 8 vertices. How many different shortest paths exist in the graph G between the vertices a and g?arrow_forward46. (a) Solve the six-city TSP shown in the diagram using the nearest-neighbor algorithm starting at vertex A and starting at vertex B. (b) Apply the sorted-edges method. A 18 15 21 19 20\17 14 22 24 F 17 23 13 16 12 Earrow_forward
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