Question 12 Use the following graph to trace the execution of Dijkstra's algorithm as it finds the shortest path from vertex A to all the other vertices. Dr aw the resulting vertex-weighted graph and use it to answer the following:

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
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Question 12
Use the following graph to trace the execution of Dijkstra's algorithm as it finds the shortest path from vertex A to all the other vertices. Draw
the resulting vertex-weighted graph and use it to answer the following:
(a) List the vertices of the resulting graph along with the cost of reaching each one from the starting vertex in the form:
V1: Cost, V2: Cost, etc.
(b) List the actual edges that are followed to obtain the costs listed in (a) above in the form:
(V1, V2), (V3, V4), etc.
Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first one
alphabetically.
E
6.
F
8.
hp
144
IOI
Transcribed Image Text:Question 12 Use the following graph to trace the execution of Dijkstra's algorithm as it finds the shortest path from vertex A to all the other vertices. Draw the resulting vertex-weighted graph and use it to answer the following: (a) List the vertices of the resulting graph along with the cost of reaching each one from the starting vertex in the form: V1: Cost, V2: Cost, etc. (b) List the actual edges that are followed to obtain the costs listed in (a) above in the form: (V1, V2), (V3, V4), etc. Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first one alphabetically. E 6. F 8. hp 144 IOI
10 1 12
140
Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first one
alphabetically.
6.
F
2.
14
13
10
7
the image does not show automatically, click this link to display it.
the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Arial
A
14px
3 IUS
Paragraph
AAC
hp
Transcribed Image Text:10 1 12 140 Note: In tracing the algorithm, if at any time you encounter more than one vertex with minimal cost, you must finalize the first one alphabetically. 6. F 2. 14 13 10 7 the image does not show automatically, click this link to display it. the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Arial A 14px 3 IUS Paragraph AAC hp
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