(21) 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) What is the minimum weight spanning tree for the weighted graph in the previous question subject to the condition that edge {d, e} is in the span- ning tree? (c) How would you generalize this idea? Suppose you are given a graph G and a particular edge {u, v} in the graph. How would you alter Prim's algorithm to find the minimum spanning tree subject to the condition that {u, v} is in the tree?

(21) 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) What is the minimum weight spanning tree for the weighted graph in the previous question subject to the condition that edge {d, e} is in the span- ning tree? (c) How would you generalize this idea? Suppose you are given a graph G and a particular edge {u, v} in the graph. How would you alter Prim's algorithm to find the minimum spanning tree subject to the condition that {u, v} is in the tree?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

100%

(21) 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) What is the minimum weight spanning tree for the weighted graph in the
previous question subject to the condition that edge {d, e} is in the span-
ning tree?
(c) How would you generalize this idea? Suppose you are given a graph G
and a particular edge {u, v} in the graph. How would you alter Prim's
algorithm to find the minimum spanning tree subject to the condition that
{u, v} is in the tree?

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