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a) First, represent each problem by drawing a weighted graph. Label the vertices and indicate the weight of each edge. Then solve the problem. b) Recall: Greedy Algorithm 1. Choose a vertex to start at, then travel along the connected edge that has the smallest weight. (If two or more edges have the same weight, pick anyone.) 2. After arriving at the next vertex, travel along the edge of the smallest weight that connects to a vertex not yet visited. Continue this process until you have visited all vertices. 3. Return to the starting vertex. 2. The prices for traveling between five cities in Manila by bus are given in the table. Represent the travel costs between cities using a weighted graph. Use the greedy algorithm to find a low-cost route that starts and ends in Baclaran and visits each city. Trace the route. What is the cost for taking this route? Baclaran Quiapo Caloocan Quezon City Cubao 16 49 74 0 50 72 35 59 0 40 40 0 Baclaran 0 Quiapo 16 Caloocan 25 Quezon City 49 Cubao 74 20 50 72 25 20 0 35 59

a) First, represent each problem by drawing a weighted graph. Label the vertices and indicate the weight of each edge. Then solve the problem. b) Recall: Greedy Algorithm 1. Choose a vertex to start at, then travel along the connected edge that has the smallest weight. (If two or more edges have the same weight, pick anyone.) 2. After arriving at the next vertex, travel along the edge of the smallest weight that connects to a vertex not yet visited. Continue this process until you have visited all vertices. 3. Return to the starting vertex. 2. The prices for traveling between five cities in Manila by bus are given in the table. Represent the travel costs between cities using a weighted graph. Use the greedy algorithm to find a low-cost route that starts and ends in Baclaran and visits each city. Trace the route. What is the cost for taking this route? Baclaran Quiapo Caloocan Quezon City Cubao 16 49 74 0 50 72 35 59 0 40 40 0 Baclaran 0 Quiapo 16 Caloocan 25 Quezon City 49 Cubao 74 20 50 72 25 20 0 35 59

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) First, represent each problem by drawing a weighted graph. Label the vertices and indicate the weight of each edge. b) Then solve the problem. Recall: Greedy Algorithm 1. Choose a vertex to start at, then travel along the connected edge that has the smallest weight. (If two or more edges have the same weight, pick anyone.) 2. After arriving at the next vertex, travel along the edge of the smallest weight that connects to a vertex not yet visited. Continue this process until you have visited all vertices. 3. Return to the starting vertex. 2. The prices for traveling between five cities in Manila by bus are given in the table. Represent the travel costs between cities using a weighted graph. Use the greedy algorithm to find a low-cost route that starts and ends in Baclaran and visits each city. Trace the route. What is the cost for taking this route? Baclaran Quiapo Caloocan Quezon City Cubao 16 49 74 0 50 72 20 35 59 50 0 40 72 40 Baclaran 0 Quiapo 16 Caloocan 25 Quezon City 49 Cubao 74 25 20 0 35 59
Transcribed Image Text:a) First, represent each problem by drawing a weighted graph. Label the vertices and indicate the weight of each edge. b) Then solve the problem. Recall: Greedy Algorithm 1. Choose a vertex to start at, then travel along the connected edge that has the smallest weight. (If two or more edges have the same weight, pick anyone.) 2. After arriving at the next vertex, travel along the edge of the smallest weight that connects to a vertex not yet visited. Continue this process until you have visited all vertices. 3. Return to the starting vertex. 2. The prices for traveling between five cities in Manila by bus are given in the table. Represent the travel costs between cities using a weighted graph. Use the greedy algorithm to find a low-cost route that starts and ends in Baclaran and visits each city. Trace the route. What is the cost for taking this route? Baclaran Quiapo Caloocan Quezon City Cubao 16 49 74 0 50 72 20 35 59 50 0 40 72 40 Baclaran 0 Quiapo 16 Caloocan 25 Quezon City 49 Cubao 74 25 20 0 35 59
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Can you make the weighted graph like this for this problem?

E 11 D 12 10 -14- 17 16 B
Transcribed Image Text:E 11 D 12 10 -14- 17 16 B
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