A mathematician applies the Greedy Algorithm to find the weight of the Hamiltonian circuit formed starting at vertex A. The order of the edges picked so far is AC, AF, BD, and CD. The next edge selected when applying the Greedy Algorithm should be DE BF EF none of these   The total weight of the circuit ABDFEA is a) 162 b) 147 c) 172 d) None of these   Using the Greedy Algorithm to find an approximate solution to the traveling salesman problem for a circuit starting at vertex D, the first edge to be selected should be BD AC AD none of these

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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  1. A mathematician applies the Greedy Algorithm to find the weight of the Hamiltonian circuit formed starting at vertex A. The order of the edges picked so far is AC, AF, BD, and CD. The next edge selected when applying the Greedy Algorithm should be
    1. DE
    2. BF
    3. EF
    4. none of these

 

  1. The total weight of the circuit ABDFEA is a) 162
  2. b) 147
  3. c) 172
  4. d) None of these

 

  1. Using the Greedy Algorithm to find an approximate solution to the traveling salesman problem for a circuit starting at vertex D, the first edge to be selected should be
    1. BD
    2. AC
    3. AD
    4. none of these
**Graph for Problems 10, 11, and 12**

This is a weighted graph with vertices labeled A, B, C, D, E, and F. Each vertex is connected by edges with specific weights.

- **Vertices and Edges:**
  - A is connected to B (31), C (20), D (40), E (21), F (35)
  - B is connected to A (31), C (40), D (22), E (26), F (33)
  - C is connected to A (20), B (40), D (23), E (28), F (38)
  - D is connected to A (40), B (22), C (23), E (25), F (37)
  - E is connected to A (21), B (26), C (28), D (25), F (34)
  - F is connected to A (35), B (33), C (38), D (37), E (34)

Each number on an edge represents the weight or distance between the two connected vertices. This graph can be used to solve problems involving shortest paths, network flows, or spanning trees.
Transcribed Image Text:**Graph for Problems 10, 11, and 12** This is a weighted graph with vertices labeled A, B, C, D, E, and F. Each vertex is connected by edges with specific weights. - **Vertices and Edges:** - A is connected to B (31), C (20), D (40), E (21), F (35) - B is connected to A (31), C (40), D (22), E (26), F (33) - C is connected to A (20), B (40), D (23), E (28), F (38) - D is connected to A (40), B (22), C (23), E (25), F (37) - E is connected to A (21), B (26), C (28), D (25), F (34) - F is connected to A (35), B (33), C (38), D (37), E (34) Each number on an edge represents the weight or distance between the two connected vertices. This graph can be used to solve problems involving shortest paths, network flows, or spanning trees.
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