(iii) Given below is the Kruskal Algorithm to find the minimum spanning tree. What is the...
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(iii) Given below is the Kruskal Algorithm to find the minimum spanning tree. What is the time complexity of this algorithm using a sorting algorithm in the worst case scenario? How can you improve this algorithm for an average or best case scenario? (10 Marks) G=(X.U) G=(X', U') where X'= X.U' = 0 Sort all arcs EU in increasing order. For each arcu EU Do If U' U {u} does not contain a cycle Then U'U'U{u} Endif EndFor (iii) Given below is the Kruskal Algorithm to find the minimum spanning tree. What is the time complexity of this algorithm using a sorting algorithm in the worst case scenario? How can you improve this algorithm for an average or best case scenario? (10 Marks) G=(X.U) G=(X', U') where X'= X.U' = 0 Sort all arcs EU in increasing order. For each arcu EU Do If U' U {u} does not contain a cycle Then U'U'U{u} Endif EndFor
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Answer rating: 100% (QA)
The time complexity of the Kruskal algorithm using a sorting algorithm in the worst case scenario is OE log E This is because the algorithm needs to sort all the edges in the graph in increasing order ... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
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