-4.1 2 -2 -1 -1 .7 a (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. (b) Now suppose that the weight of edge {e,f} is decreased from 7 to -3. Is there a way to find the minimum spanning tree of the altered graph without running Prim's algorithm from scratch?

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
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An undirected weighted graph G is given below:
11
3
f
1
-4.1
2
.2
-1
.7
3
a
.5
4
(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.
(b) Now suppose that the weight of edge {e,f} is decreased from 7 to -3. Is there a way to find the minimum spanning tree of the
altered graph without running Prim's algorithm from scratch?
Transcribed Image Text:An undirected weighted graph G is given below: 11 3 f 1 -4.1 2 .2 -1 .7 3 a .5 4 (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. (b) Now suppose that the weight of edge {e,f} is decreased from 7 to -3. Is there a way to find the minimum spanning tree of the altered graph without running Prim's algorithm from scratch?
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