Which edge is NOT part of a minimum spanning tree?
A. <a, d>
B. <b, d>
C. <c, d>
D. <d,
e>
Homework Answers
Option C is correct which is <C,D>
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Consider the following graph to compute a minimum spanning tree. Which edge is selected first by...
Consider the following graph to compute a minimum spanning tree. Which edge is selected first by the Kruskal's algorithm? b 5 2 4 6 3 2 d) A.<a, b> OB.<a, d> OC.<b, > OD.<b, d>
Generate a minimum spanning tree for the following graph. Label all edge weights in the resulting...
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Compare the Dijkstra Shortest Spanning Tree to the Minimum-cost Broadcast Spanning Tree for the graph in...
Compare the Dijkstra Shortest Spanning Tree to the Minimum-cost
Broadcast Spanning Tree for the graph in Question 6.
Consider the communication graph below. The edge labels are of the form a / b, where a is the cost in dollars of using that link and b is the delay in seconds of using that link. Run Dijkstra's algorithm on this graph and find the optimal route from A to E 6. 6/2 2/4 2/3 3/4 4/4
3. In this problem, you will show the execution of the minimum spanning tree algorithms that...
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For minimum spanning tree (MST) construction, Kruskal’s algorithm selects an edge. a) with maximum number of...
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C++ programing question22 Minimum spanning tree Time limit: 1 second Problem Description For a connected undirected...
C++ programing question22
Minimum spanning tree
Time limit: 1 second
Problem Description
For a connected undirected graph G = (V, E), edge e corresponds to
a weight w, a minimum weight spaning tree can be found on the
graph.
Into trees.
Input file format
At the beginning, there will be a positive integer T, which means
that there will be T input data.
The first line of each input has two positive integers n,m,
representing n points and m edges...
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You are given an undirected graph G with weighted edges and a minimum spanning tree T of G.
You are given an undirected graph G with weighted edges and a minimum spanning tree T of G. Design an algorithm to update the minimum spanning tree when the weight of a single edge is decreased. The input to your algorithm should be the edge e and its new weight; your algorithm should modify T so that it is still a MST. Analyze the running time of your algorithm and prove its correctness.
Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?
7. MINIMUM WEIGHT SPANNING TREES (a) Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?(b) The graph below represents the cost in thousands of dollars to connect nearby towns with high speed, fiber optic cable. Use Kruskal's algorithm to find a minimum weight spanning tree. What is the total cost of this spanning tree?
Consider the following graph to compute a minimum spanning tree. Which edge is selected first by the Kruskal's algorithm? b 5 2 4 6 3 2 d) A.<a, b> OB.<a, d> OC.<b, > OD.<b, d>
Generate a minimum spanning tree for the following graph. Label all edge weights in the resulting tree and indicate the total edge weight for the tree. 9 6 G A 4 7 H 6 5 3 21 LC LO
Compare the Dijkstra Shortest Spanning Tree to the Minimum-cost
Broadcast Spanning Tree for the graph in Question 6.
Consider the communication graph below. The edge labels are of the form a / b, where a is the cost in dollars of using that link and b is the delay in seconds of using that link. Run Dijkstra's algorithm on this graph and find the optimal route from A to E 6. 6/2 2/4 2/3 3/4 4/4
3. In this problem, you will show the execution of the minimum spanning tree algorithms that you studied in class on the following graph: START 10 40 5 20 35 15 6 30 62 12 (a) (5 points) Trace the execution of Prim's algorithm to find the minimum spanning tree for this graph. At each step, you should show the vertex and the edge added to the tree and the resulting values of D after the relaxation operation. Use START...
C++ programing question22
Minimum spanning tree
Time limit: 1 second
Problem Description
For a connected undirected graph G = (V, E), edge e corresponds to
a weight w, a minimum weight spaning tree can be found on the
graph.
Into trees.
Input file format
At the beginning, there will be a positive integer T, which means
that there will be T input data.
The first line of each input has two positive integers n,m,
representing n points and m edges...
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