Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 7, Problem 39E
Find the MST of the network shown in Fig. 7-40 using Kruskal's algorithm, and give its weight.
Figure 7-40
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider 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
8
Coordinates for a clipping window and a line are given in the following figure. Use Liang-
Q1.
Barsky algorithm to clip this line with respect to the clipping window. Show your steps and calculations
clearly.
Ymax=20-
Po(8, 12)
Ymin=10
P1(30,6)
Xmin=10
Xmax=20
A. Consider the line from (2,3) to (9,8). Use the Bresenham’s algorithm to rasterize this line.
Given the clipping window points x_min = 4, y_min = 4, x_max = 10, y_max = 8
Find the lines whether accepted or rejected line 1 : x1 = 5, y1 = 5, x2 = 7, y2 = 7, Line 2 : x1 = 7, y1 = 9, x2 = 11, y2 = 4, Line 3 : x1 = 1, y1 = 5, x2 = 4, y2 = 1
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Consider the following network, where each number along a link represents the actual distance between the pair of nodes connected by that link. The objective is to find the shortest path from the origin to the destination. (a) For the forward recursion formulation of this problem, how many stages are there, and what arethe states for each stage? Stage 1: n = 1 Stage 2: n = 2 origin) ( Stage 3: n = 3 S A B C (b) Use forward recursion to solve this problem. However, instead of using the usual tables, show your work graphically. In particular, start with the given network, where the answers already are given for f (Sn) for four of the nodes; then solve for and fill in f2 (B) and fi* (0). Draw an arrowhead that shows the optimal link to traverse out of each of the latter two nodes. Finally, identify the optimal path by following the arrows from node O onward to node T. (c) Use forward recursion to solve this problem by manually constructing the usual tables for n = 3, n = 2, and n = 1.…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_forwardWhat is the use of the Euclidean algorithm?arrow_forward
- Apply Dijkstra's Algorithm to find the shortest path from a to z in the following graph.arrow_forwardDISCRETE STRUCTUREarrow_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
- Given a graph G = (V,E) find the minimum number of edges that will cover every vertex (Edge Cover). Detail and analyze an approximate algorithm to this problem.arrow_forwardUse the shortest path algorithm to find a shortest st-path in the following graph. The number on each edge indicates its length.arrow_forward4. (a) Use Dijkstra's algorithm to find the shortest path from node A to node F in the following network and give its length. A с 2 5 B 24 13 6 3 F D 14 Weight [kg] 40 50 60 40 250 200 70 190 1 E (b) A museum wants to ship 8 Roman statues for a special exhibition. They are to be transported in crates each holding a maximum weight of 300 kilograms. The numbers in the table represent the weight in kilograms of the statues: Statue Mercury Venus Tellus Mars Jupiter Saturn Caelus Neptune (i) Find the lower bound for the number of crates required to fit all statues. (ii) Use the first fit decreasing algorithm to estimate the minimum number of crates required to ship all statues. Does the first fit decreasing algorithm give an optimal solution? (iii) Find by trial and error a solution needing only & crates.arrow_forward
- A chicken farmer wishes to provide electric power to each chicken house on his farm by installing buried electrical power lines. The graph below illustrates the locations of the houses and the distances between them in feet. Use Kruskal's algorithm to determine how the farmer should dig channels in order to minimize the amount of digging. Also determine the minimum total length of channels that must be dug.arrow_forwardConsider the network with N = 4 nodes and adjacency matrix A given by A = 0 11 1 1 0 1 1 0000 0000arrow_forwardFind the shortest path from node 1 to all other nodes using Dijkstra’s algorithm. 5 6 2 6 11 3 4 14 10 15 1 2 9. 9,arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY