ply Prims algorithm to the graph below, starting with vertex a. Construct a table that shows the vertices added to the spanning tree in one column, and the priority queue containing the remaining vertices in a second column, as Levitin does in Figure 9.3. (It is not necessary to illustrate the graph at each step.) Label each vertex with (1) the nearest vertex in the spanning tree so far, and (2) the weight of the edge to that vertex. 4 9 a d 6 C 12 7 5 b e 10 Tree vertices Priority queue of remaining vertices When the algorithm is complete, show how to construct the list of edges that makes up the spanning tree from the information in your table, and write down this list.

ply Prims algorithm to the graph below, starting with vertex a. Construct a table that shows the vertices added to the spanning tree in one column, and the priority queue containing the remaining vertices in a second column, as Levitin does in Figure 9.3. (It is not necessary to illustrate the graph at each step.) Label each vertex with (1) the nearest vertex in the spanning tree so far, and (2) the weight of the edge to that vertex. 4 9 a d 6 C 12 7 5 b e 10 Tree vertices Priority queue of remaining vertices When the algorithm is complete, show how to construct the list of edges that makes up the spanning tree from the information in your table, and write down this list.

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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Question

Please only typed answer fast

Tree vertices
a(-,-)
b(a, 3)
c(b, 1)
f(b, 4)
e(f, 2)
d(f, 5)
3
5
6
d(f, 5) e(f, 2)
d(f, 5)
4
Remaining vertices
b(a, 3) c(-, ∞) d(-, ∞)
e(a, 6) f(a, 5)
c(b, 1) d(-, ∞) e(a, 6)
f(b, 4)
d(c, 6) e(a, 6) f(b, 4)
2
4
5
8
3
3
5
5
6
5
6
5
6
5
6
Illustration
4
4
4
4
4
1
2
2
2
f
4
4
2
4
4
4
с
5
8
5
8
5
5
8
5
8
6
6
6
6
FIGURE 9.3 Application of Prim's algorithm. The parenthesized labels of a vertex in the
middle column indicate the nearest tree vertex and edge weight; selected
vertices and edges are shown in bold.

2 Prim's Algorithm
ply Prims algorithm to the graph below, starting with vertex a. Construct a table
that shows the vertices added to the spanning tree in one column, and the priority queue containing
the remaining vertices in a second column, as Levitin does in Figure 9.3. (It is not necessary to
illustrate the graph at each step.) Label each vertex with (1) the nearest vertex in the spanning
tree so far, and (2) the weight of the edge to that vertex.
4
9
a
d
6
C
12
7
b
e
10
Tree vertices Priority queue of remaining vertices
When the algorithm is complete, show how to construct the list of edges that makes up the
spanning tree from the information in your table, and write down this list.

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