Explanation Algorithm used: Kruskal’s Algorithm The procedure for Kruskal’s Algorithm to construct a minimum spanning tree: Step 1: Select the overall lowest weight and mark it in color. Step 2: Select the edge with lowest weight from the remaining edges which should not form a circuit with the colored edges and mark it in color. Step 3: Proceed this process till all the vertices are covered. By the above algorithm, construct a minimum spanning tree as follows. Select the edge with overall lowest edge, which is BC with weight 3 and mark it in color followed by the edge FD with 4. There are two possibilities for the next lowest edge: Edges CD and BF with weight 5. Choose any of these two edges. So first select the edge CD . The edge BF is ignored, since it forms circuit with the colored edges...

4th Edition

ISBN: 9781266427183

Author: sobecki

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Chapter 13.4, Problem 24E

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To find: A minimum spanning tree for the given graph using the Kruskal’s Algorithm.

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Chapter 13.4, Problem 23E

Chapter 13.4, Problem 25E

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Use Kruskal's algorithm to find a minimum spanning tree. b a 8 8 6 10 9 f 7 N 3 5 4 d

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Chapter 13 Solutions

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Ch. 13.1 - What is the difference between a circuit and a...Ch. 13.1 - Draw two graphs that look physically different but...Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E Ch. 13.1 - Prob. 11E Ch. 13.1 - How does graph coloring apply to maps?Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 18E Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 20E Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 25E Ch. 13.1 - Prob. 26E Ch. 13.1 - Prob. 27E Ch. 13.1 - Prob. 28E Ch. 13.1 - Prob. 29E Ch. 13.1 - Prob. 30E Ch. 13.1 - For Exercises 3134, represent each figure using a...Ch. 13.1 - Prob. 32E Ch. 13.1 - Prob. 33E Ch. 13.1 - Prob. 34E Ch. 13.1 - Prob. 35E Ch. 13.1 - Prob. 36E Ch. 13.1 - For Exercises 3538, draw a graph to represent each...Ch. 13.1 - Prob. 38E Ch. 13.1 - Prob. 39E Ch. 13.1 - For Exercises 3942, draw a graph that represents...Ch. 13.1 - Prob. 41E Ch. 13.1 - Prob. 42E Ch. 13.1 - In Exercises 4350, use graph coloring to find the...Ch. 13.1 - Prob. 44E Ch. 13.1 - Prob. 45E Ch. 13.1 - Prob. 46E Ch. 13.1 - In Exercises 4350, use graph coloring to find the...Ch. 13.1 - Prob. 48E Ch. 13.1 - Prob. 49E Ch. 13.1 - Prob. 50E Ch. 13.1 - Prob. 51E Ch. 13.1 - Prob. 52E Ch. 13.1 - Prob. 53E Ch. 13.1 - Prob. 54E Ch. 13.1 - Prob. 55E Ch. 13.1 - Draw a graph that represents the street map in...Ch. 13.1 - Prob. 57E Ch. 13.1 - Prob. 58E Ch. 13.1 - Prob. 59E Ch. 13.1 - Prob. 61E Ch. 13.1 - Prob. 62E Ch. 13.1 - Prob. 63E Ch. 13.1 - (a)When a graph represents a map as in Exercise...Ch. 13.2 - Classify the paths shown in the graphs as Euler...Ch. 13.2 - Use Euler's theorem to determine if the graphs...Ch. 13.2 - Prob. 3TTO Ch. 13.2 - Prob. 4TTO Ch. 13.2 - Prob. 1E Ch. 13.2 - Prob. 2E Ch. 13.2 - Prob. 3E Ch. 13.2 - Prob. 4E Ch. 13.2 - Prob. 5E Ch. 13.2 - Prob. 6E Ch. 13.2 - Prob. 7E Ch. 13.2 - Prob. 8E Ch. 13.2 - For Exercises 710, decide whether each connected...Ch. 13.2 - Prob. 10E Ch. 13.2 - For Exercises 710, decide whether each connected...Ch. 13.2 - Prob. 12E Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 14E Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 16E Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 18E Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 20E Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 23E Ch. 13.2 - Prob. 24E Ch. 13.2 - Prob. 25E Ch. 13.2 - Prob. 26E Ch. 13.2 - Prob. 27E Ch. 13.2 - For Exercises 2126, draw a graph for the figures...Ch. 13.2 - Prob. 29E Ch. 13.2 - Prob. 30E Ch. 13.2 - Prob. 31E Ch. 13.2 - Prob. 32E Ch. 13.2 - Prob. 33E Ch. 13.2 - Prob. 34E Ch. 13.2 - For Exercises 33 and 34, determine if an Euler...Ch. 13.2 - For Exercises 33 and 34, determine if an Euler...Ch. 13.2 - Prob. 37E Ch. 13.2 - Prob. 39E Ch. 13.2 - Prob. 40E Ch. 13.2 - Draw some sample graphs and use them to discuss...Ch. 13.2 - Prob. 42E Ch. 13.2 - Prob. 43E Ch. 13.2 - Prob. 44E Ch. 13.2 - Prob. 45E Ch. 13.2 - Explain why the word connected is crucial...Ch. 13.2 - Prob. 47E Ch. 13.2 - Prob. 48E Ch. 13.3 - Prob. 1TTO Ch. 13.3 - Prob. 2TTO Ch. 13.3 - Prob. 3TTO Ch. 13.3 - The driving times in minutes between four cities...Ch. 13.3 - Prob. 5TTO Ch. 13.3 - Prob. 6TTO Ch. 13.3 - Prob. 7TTO Ch. 13.3 - What is the difference between a Hamilton path and...Ch. 13.3 - Prob. 2E Ch. 13.3 - Give an example of a problem in our world that can...Ch. 13.3 - 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Pick...Ch. 13.3 - Prob. 62E Ch. 13.3 - Prob. 63E Ch. 13.3 - Prob. 64E Ch. 13.3 - Prob. 65E Ch. 13.3 - Prob. 66E Ch. 13.3 - Prob. 67E Ch. 13.3 - Prob. 68E Ch. 13.3 - Prob. 69E Ch. 13.3 - Prob. 70E Ch. 13.3 - Prob. 71E Ch. 13.3 - Prob. 72E Ch. 13.3 - Prob. 73E Ch. 13.3 - Prob. 74E Ch. 13.4 - Prob. 1TTO Ch. 13.4 - Prob. 2TTO Ch. 13.4 - Prob. 3TTO Ch. 13.4 - Prob. 4TTO Ch. 13.4 - Prob. 5TTO Ch. 13.4 - Prob. 1E Ch. 13.4 - Prob. 2E Ch. 13.4 - Prob. 3E Ch. 13.4 - Prob. 4E Ch. 13.4 - Prob. 5E Ch. 13.4 - Prob. 6E Ch. 13.4 - For Exercise 716, decide whether or not each graph...Ch. 13.4 - Prob. 8E Ch. 13.4 - Prob. 9E Ch. 13.4 - Prob. 10E Ch. 13.4 - Prob. 11E Ch. 13.4 - Prob. 12E Ch. 13.4 - Prob. 13E Ch. 13.4 - Prob. 14E Ch. 13.4 - Prob. 15E Ch. 13.4 - Prob. 16E Ch. 13.4 - Prob. 17E Ch. 13.4 - Prob. 18E Ch. 13.4 - Prob. 19E Ch. 13.4 - Prob. 20E Ch. 13.4 - Prob. 21E Ch. 13.4 - Prob. 22E Ch. 13.4 - Prob. 23E Ch. 13.4 - Prob. 24E Ch. 13.4 - Prob. 25E Ch. 13.4 - Prob. 26E Ch. 13.4 - Prob. 27E Ch. 13.4 - Prob. 28E Ch. 13.4 - Prob. 29E Ch. 13.4 - Prob. 30E Ch. 13.4 - Prob. 31E Ch. 13.4 - Prob. 32E Ch. 13.4 - Prob. 33E Ch. 13.4 - As a new suburban neighborhood is being built, the...Ch. 13.4 - Prob. 35E Ch. 13.4 - Prob. 36E Ch. 13.4 - Prob. 37E Ch. 13.4 - Prob. 38E Ch. 13.4 - Prob. 39E Ch. 13.4 - In the last two sections, we used both Hamilton...Ch. 13.4 - Prob. 41E Ch. 13.4 - Prob. 42E Ch. 13.4 - Prob. 43E Ch. 13.4 - Prob. 44E Ch. 13 - Use the graph shown in Figure 14-62 for Exercise...Ch. 13 - Prob. 2RE Ch. 13 - Prob. 3RE Ch. 13 - Prob. 4RE Ch. 13 - Prob. 5RE Ch. 13 - Prob. 6RE Ch. 13 - Use the graph shown in Figure 14-62 for Exercises...Ch. 13 - Prob. 8RE Ch. 13 - Prob. 9RE Ch. 13 - Prob. 10RE Ch. 13 - Prob. 11RE Ch. 13 - Prob. 12RE Ch. 13 - Prob. 13RE Ch. 13 - Repeat Exercise 13 for the graphs from Exercises...Ch. 13 - Prob. 15RE Ch. 13 - Prob. 16RE Ch. 13 - Prob. 17RE Ch. 13 - Prob. 18RE Ch. 13 - Prob. 19RE Ch. 13 - Prob. 20RE Ch. 13 - Prob. 21RE Ch. 13 - Prob. 22RE Ch. 13 - Prob. 23RE Ch. 13 - Prob. 24RE Ch. 13 - Prob. 25RE Ch. 13 - Prob. 26RE Ch. 13 - Prob. 27RE Ch. 13 - Prob. 28RE Ch. 13 - Prob. 29RE Ch. 13 - Prob. 30RE Ch. 13 - Prob. 31RE Ch. 13 - Prob. 32RE Ch. 13 - Prob. 33RE Ch. 13 - Prob. 34RE Ch. 13 - For the following graph: (a)What is the degree of...Ch. 13 - Draw a graph with two bridges, and the...Ch. 13 - Prob. 3CT Ch. 13 - Prob. 4CT Ch. 13 - (a)For the graph shown in Figure 14-73, find an...Ch. 13 - Prob. 6CT Ch. 13 - For the housing plan shown in Figure 14-75, draw a...Ch. 13 - Prob. 8CT Ch. 13 - Use the brute force method to find the shortest...Ch. 13 - Use the nearest neighbor method and cheapest link...Ch. 13 - Prob. 11CT Ch. 13 - Decide whether the problem can be solved using...

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A minimum spanning tree for the given graph using the Kruskal’s Algorithm.

Solution Summary: The author explains the Kruskal's Algorithm to construct a minimum spanning tree.

To find: A minimum spanning tree for the given graph using the Kruskal’s Algorithm.

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Chapter 13 Solutions