-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?

-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

Problem 1PE

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Question

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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