Figure 16: An undirected weighted graph has 6 vertices, a through f, and 9 edges. Verter d is on the left. Verter f is above and to the right of verter d. Verter e is below and to the right of verter f, but above verter d. Verter c is below and to the right of verter e. Verter a is above verter e and to the right of verter c. Verter b is below and to the right of verter a, but above verter c. The edges between the vertices and their weight are as follows: d and f, 1; d and e, 4; ƒ and e, 2; e and a, 2; f and a, 3; e and e, 5; c and a, 7; e and b, 5; and a and b, 6. (a) Use Prim's algorithm to compute the minimum spanning tree for the weighted graph. Start the algorithm at vertex a. Show the order in which the edges are added to the tree.
Figure 16: An undirected weighted graph has 6 vertices, a through f, and 9 edges. Verter d is on the left. Verter f is above and to the right of verter d. Verter e is below and to the right of verter f, but above verter d. Verter c is below and to the right of verter e. Verter a is above verter e and to the right of verter c. Verter b is below and to the right of verter a, but above verter c. The edges between the vertices and their weight are as follows: d and f, 1; d and e, 4; ƒ and e, 2; e and a, 2; f and a, 3; e and e, 5; c and a, 7; e and b, 5; and a and b, 6. (a) Use Prim's algorithm to compute the minimum spanning tree for the weighted graph. Start the algorithm at vertex a. Show the order in which the edges are added to the tree.
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
Transcribed Image Text:Figure 16: An undirected weighted graph has 6 vertices, a through f, and 9 edges.
Verter d is on the left. Verter f is above and to the right of verter d. Verter e is
below and to the right of verter f, but above verter d. Verter c is below and to the
right of verter e. Verter a is above verter e and to the right of verter c. Verter
b is below and to the right of verter a, but above verter c. The edges between the
vertices and their weight are as follows: d and f, 1; d and e, 4; ƒ and e, 2; e and a,
2; f and a, 3; e and e, 5; c and a, 7; e and b, 5; and a and b, 6.
(a) Use Prim's algorithm to compute the minimum spanning tree for the weighted
graph. Start the algorithm at vertex a. Show the order in which the edges
are added to the tree.
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