Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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First, represent each problem by drawing a weighted graph. Label the vertices and indicate the weight of each edge. 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.

QUESTION

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
Baclaran 0 16 25 49 74
Quiapo 16 0 20 50 72
Caloocan 25 20 0 35 59
Quezon City 49 50 35 0 40
Cubao 74 72 59 40 0
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