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You are given an undirected graph G = (V,E) along with its minimum spanning tree T*. Now a new edge e' (which was not part of G) is added to the graph. Our task is to update the minimum spanning tree. Check all statements below that are true: If weight of e' is less than the cheapest edge in T*, then 7* remains the correct MST. We add e' to the tree, and remove the largest weight edge of 7*. We must rerun Kruskal or Prim algorithm; there is no more efficient method for updating the MST. Let emax be the largest weight edge in the cycle created by adding e' to 7*. If e' is cheaper than emax, swap emax for e'.

You are given an undirected graph G = (V,E) along with its minimum spanning tree T*. Now a new edge e' (which was not part of G) is added to the graph. Our task is to update the minimum spanning tree. Check all statements below that are true: If weight of e' is less than the cheapest edge in T*, then 7* remains the correct MST. We add e' to the tree, and remove the largest weight edge of 7*. We must rerun Kruskal or Prim algorithm; there is no more efficient method for updating the MST. Let emax be the largest weight edge in the cycle created by adding e' to 7*. If e' is cheaper than emax, swap emax for e'.

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
Problem 7PE
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You are given an undirected graph G = (V,E) along with its minimum spanning tree T*. Now a new edge e' (which was not part of G) is added to the graph. Our task is to update the minimum spanning tree. Check all statements below that are true: If weight of e' is less than the cheapest edge in T*, then 7* remains the correct MST. We add e' to the tree, and remove the largest weight edge of 7*. We must rerun Kruskal or Prim algorithm; there is no more efficient method for updating the MST. Let emax be the largest weight edge in the cycle created by adding e' to 7*. If e' is cheaper than emax, swap emax for e'.
Transcribed Image Text:You are given an undirected graph G = (V,E) along with its minimum spanning tree T*. Now a new edge e' (which was not part of G) is added to the graph. Our task is to update the minimum spanning tree. Check all statements below that are true: If weight of e' is less than the cheapest edge in T*, then 7* remains the correct MST. We add e' to the tree, and remove the largest weight edge of 7*. We must rerun Kruskal or Prim algorithm; there is no more efficient method for updating the MST. Let emax be the largest weight edge in the cycle created by adding e' to 7*. If e' is cheaper than emax, swap emax for e'.
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