Answered: 1. Input: An undirected weighted graph…

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

1. Input: An undirected weighted graph G = (V, E, w)
2. Output: An MST T = (V, E
) of G
3. T ← Ø
4. Sort edges of G in non-increasing order and place them in a queue Q.
5. repeat
6. Remove the first edge (u, v) from Q and add it to T if it does not form a cycle
with the edges edge that are already included in T .
7. until there are n − 1 edges in T .
We can use union-find data structure to find whether the two endpoints of the
selected edge are in the same set (the current MST fragment). It can be shown that
this algorithm is correct and has a time complexity of O(m log n) [1].
Give Python Implementation of algo

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