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Computer Engineering
Input: 6 8 -> n, m ( vertices, edges ) 1 2 3 1 ( first two numbers specify end-point vertices, 3rd number is the weight, and fourth 0 or 1. 1 = edge belongs to F, 0 edge doesn't belong to F 2 3 7 0 1 4 4 0 3 6 3 0 3 4 2 0 4 5 2 1 5 6 6 1 4 6 1 0 Ouput: 17

Input: 6 8 -> n, m ( vertices, edges ) 1 2 3 1 ( first two numbers specify end-point vertices, 3rd number is the weight, and fourth 0 or 1. 1 = edge belongs to F, 0 edge doesn't belong to F 2 3 7 0 1 4 4 0 3 6 3 0 3 4 2 0 4 5 2 1 5 6 6 1 4 6 1 0 Ouput: 17

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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6 8 -> n, m ( vertices, edges ) 1 2 3 1 ( first two numbers specify end-point vertices, 3rd number is the weight, and fourth 0 or 1. 1 = edge belongs to F, 0 edge doesn't belong to F 2 3 7 0 1 4 4 0 3 6 3 0 3 4 2 0 4 5 2 1 5 6 6 1 4 6 1 0

Ouput: 17

Given is a weighted undirected graph G = (V, E) with positive weights and a subset of its edges FCE. An F-containing spanning tree of G is a spanning tree that contains all edges from F (there might be other edges as well). Give an algorithm that finds the cost of the minimum-cost F-containing spanning tree of G and runs in time O(m log n) or O(n²).
Transcribed Image Text:Given is a weighted undirected graph G = (V, E) with positive weights and a subset of its edges FCE. An F-containing spanning tree of G is a spanning tree that contains all edges from F (there might be other edges as well). Give an algorithm that finds the cost of the minimum-cost F-containing spanning tree of G and runs in time O(m log n) or O(n²).
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