We will be referring to the following graph in the questions below S 1 A 3 4 1 2 E I 2 2 ст 5 5 ст F 9 7 H G 6 2 4 8 B C Ꭰ Suppose we start Prim's algorithm from S on this graph. Write down the state of the Priority Queue being used as the fringe after S is visited, after B is visited, and after the algorithm is completed. Each value in the priority queue should be an integer. Resolve ties by alphabetical order of the vertices. For example: if A and C have the same priority, then you should first pop A since it comes alphabetically first. Initialize the priority of each vertex as inf which we'll use to represent ∞. So, before the first iteration, the values of the fringe are: fringe = {S:0, A:inf, B:inf, C:inf, D:inf, E:inf, F:inf, G:inf, H:inf, I:inf} Order your fringe by priority values. You should use the same alphabetical tie-breaking scheme when choosing the order of the fringe. Make sure you include the { and > in your answer. If the fringe is empty, put { }

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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Give the state of the priority queue after SS is visited in the format shown above fringe:

Give the state of the priority queue after B is visited fringe:

We will be referring to the following graph in the questions below
S
1
A
3
4
1
2
E
I
2
2
ст
5
5
ст
F
9
7
H
G
6
2
4
8
B
C
Ꭰ
Suppose we start Prim's algorithm from S on this graph. Write down the state of the Priority
Queue being used as the fringe after S is visited, after B is visited, and after the algorithm is
completed. Each value in the priority queue should be an integer. Resolve ties by alphabetical order
of the vertices. For example: if A and C have the same priority, then you should first pop A since it
comes alphabetically first.
Initialize the priority of each vertex as inf which we'll use to represent ∞. So, before the first
iteration, the values of the fringe are:
fringe = {S:0, A:inf, B:inf, C:inf, D:inf, E:inf, F:inf, G:inf, H:inf, I:inf}
Order your fringe by priority values. You should use the same alphabetical tie-breaking scheme
when choosing the order of the fringe. Make sure you include the { and > in your answer. If the
fringe is empty, put { }
Transcribed Image Text:We will be referring to the following graph in the questions below S 1 A 3 4 1 2 E I 2 2 ст 5 5 ст F 9 7 H G 6 2 4 8 B C Ꭰ Suppose we start Prim's algorithm from S on this graph. Write down the state of the Priority Queue being used as the fringe after S is visited, after B is visited, and after the algorithm is completed. Each value in the priority queue should be an integer. Resolve ties by alphabetical order of the vertices. For example: if A and C have the same priority, then you should first pop A since it comes alphabetically first. Initialize the priority of each vertex as inf which we'll use to represent ∞. So, before the first iteration, the values of the fringe are: fringe = {S:0, A:inf, B:inf, C:inf, D:inf, E:inf, F:inf, G:inf, H:inf, I:inf} Order your fringe by priority values. You should use the same alphabetical tie-breaking scheme when choosing the order of the fringe. Make sure you include the { and > in your answer. If the fringe is empty, put { }
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