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The following table presents the implementation of Dijkstra's algorithm on the evaluated graph G with 8 vertices. a) What do the marks (0, {a}) and (∞, {x}) in the 1st row of the table mean? b) What do the marks marked in blue in the table mean? c) Reconstruct all edges of the graph G resulting from the first 5 rows of the table of Dijkstra's

The following table presents the implementation of Dijkstra's algorithm on the evaluated graph G with 8 vertices. a) What do the marks (0, {a}) and (∞, {x}) in the 1st row of the table mean? b) What do the marks marked in blue in the table mean? c) Reconstruct all edges of the graph G resulting from the first 5 rows of the table of Dijkstra's

Database System Concepts
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
Problem 1PE
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The following table presents the implementation of Dijkstra's algorithm on the evaluated graph G with 8 vertices.

a) What do the marks (0, {a}) and (∞, {x}) in the 1st row of the table mean?

b) What do the marks marked in blue in the table mean?

c) Reconstruct all edges of the graph G resulting from the first 5 rows of the table of Dijkstra's algorithm.

d) How many different shortest paths exist in the graph G between the vertices a and g?

a d e h (0, {a}) | (∞, {b})| (0, {c}) (0, {a}) (3. {a}) (3, {a}) (3. {a}) (0, {d}) (4, {a}) (4, {a, c}) (4, {a, b, c}) (4, {a, b, c}) | (6, {c, d}) | (7, {b, d}) (0, {e}) (0,{f}) (00, {g}) (00, {h}) 1. (2, {a}) (2, {a}) 2. (6, {c}) (6, {c}) 3. (7, {b}) 4. (8, {d}) (8, {d, e}) (7, {b, d}) | (8, {d, e, f}) 5. (6, {c, d}) (7, {b, d}) 6. (9. {f}) (8, {d, e, f}) | (9, {f.g}) (9, {f.g}) 7. 8. 9.
Transcribed Image Text:a d e h (0, {a}) | (∞, {b})| (0, {c}) (0, {a}) (3. {a}) (3, {a}) (3. {a}) (0, {d}) (4, {a}) (4, {a, c}) (4, {a, b, c}) (4, {a, b, c}) | (6, {c, d}) | (7, {b, d}) (0, {e}) (0,{f}) (00, {g}) (00, {h}) 1. (2, {a}) (2, {a}) 2. (6, {c}) (6, {c}) 3. (7, {b}) 4. (8, {d}) (8, {d, e}) (7, {b, d}) | (8, {d, e, f}) 5. (6, {c, d}) (7, {b, d}) 6. (9. {f}) (8, {d, e, f}) | (9, {f.g}) (9, {f.g}) 7. 8. 9.
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