Raw Blame Given an undirected, connected and weighted graph G(V, E) with V number of vertices (which are numbered from 0 to V-1) and E number of edges. Find and print the Minimum Spanning Tree (MST) using Kruskal's algorithm. For printing MST follow the steps - 1. In one line, print an edge which is part of MST in the format - v1 v2 w where, v1 and v2 are the vertices of the edge which is included in MST and whose weight is w. And v1 <= v2 i.e. print the smaller vertex first while printing an edge. 2. Print V-1 edges in above format in different lines. Note : Order of different edges doesn't matter. Input Format : Line 1: Two Integers V and E (separated by space) Next E lines : Three integers ei, ej and wi, denoting that there exists an edge between vertex ei and vertex ej with weight wi (separated by space) Output Format : Print the MST, as described in the task. Constraints : 2 <= V, E <= 10^5 Time Limit: 1 sec Sample Input 1 : 4 4 0 1 3 0 3 5 1 2 1 2 3 8 Sample Output 1 : 1 2 1 0 1 3 0 3 5.

To implement Kruskal's algorithmm for finding the Minimum Spanning Tree (MST) of an undirected,…

Answered: 0 to V-1) and E number of edges.…

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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Raw Blame

	Given an undirected, connected and weighted graph G(V, E) with V number of vertices (which are numbered from 0 to V-1) and E number of edges.
	Find and print the Minimum Spanning Tree (MST) using Kruskal's algorithm.
	For printing MST follow the steps -
	1. In one line, print an edge which is part of MST in the format -
	v1 v2 w
	where, v1 and v2 are the vertices of the edge which is included in MST and whose weight is w. And v1 <= v2 i.e. print the smaller vertex first while printing an edge.
	2. Print V-1 edges in above format in different lines.
	Note : Order of different edges doesn't matter.
	Input Format :
	Line 1: Two Integers V and E (separated by space)
	Next E lines : Three integers ei, ej and wi, denoting that there exists an edge between vertex ei and vertex ej with weight wi (separated by space)
	Output Format :
	Print the MST, as described in the task.
	Constraints :
	2 <= V, E <= 10^5
	Time Limit: 1 sec
	Sample Input 1 :
	4 4
	0 1 3
	0 3 5
	1 2 1
	2 3 8
	Sample Output 1 :
	1 2 1
	0 1 3
	0 3 5.

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